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Simplifying (43x + 28) + -1(24x + 19) = (25x + 11) + -17(x + 3) + -6 Reorder the terms: (28 + 43x) + -1(24x + 19) = (25x + 11) + -17(x + 3) + -6 Remove parenthesis around (28 + 43x) 28 + 43x + -1(24x + 19) = (25x + 11) + -17(x + 3) + -6 Reorder the terms: 28 + 43x + -1(19 + 24x) = (25x + 11) + -17(x + 3) + -6 28 + 43x + (19 * -1 + 24x * -1) = (25x + 11) + -17(x + 3) + -6 28 + 43x + (-19 + -24x) = (25x + 11) + -17(x + 3) + -6 Reorder the terms: 28 + -19 + 43x + -24x = (25x + 11) + -17(x + 3) + -6 Combine like terms: 28 + -19 = 9 9 + 43x + -24x = (25x + 11) + -17(x + 3) + -6 Combine like terms: 43x + -24x = 19x 9 + 19x = (25x + 11) + -17(x + 3) + -6 Reorder the terms: 9 + 19x = (11 + 25x) + -17(x + 3) + -6 Remove parenthesis around (11 + 25x) 9 + 19x = 11 + 25x + -17(x + 3) + -6 Reorder the terms: 9 + 19x = 11 + 25x + -17(3 + x) + -6 9 + 19x = 11 + 25x + (3 * -17 + x * -17) + -6 9 + 19x = 11 + 25x + (-51 + -17x) + -6 Reorder the terms: 9 + 19x = 11 + -51 + -6 + 25x + -17x Combine like terms: 11 + -51 = -40 9 + 19x = -40 + -6 + 25x + -17x Combine like terms: -40 + -6 = -46 9 + 19x = -46 + 25x + -17x Combine like terms: 25x + -17x = 8x 9 + 19x = -46 + 8x Solving 9 + 19x = -46 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 9 + 19x + -8x = -46 + 8x + -8x Combine like terms: 19x + -8x = 11x 9 + 11x = -46 + 8x + -8x Combine like terms: 8x + -8x = 0 9 + 11x = -46 + 0 9 + 11x = -46 Add '-9' to each side of the equation. 9 + -9 + 11x = -46 + -9 Combine like terms: 9 + -9 = 0 0 + 11x = -46 + -9 11x = -46 + -9 Combine like terms: -46 + -9 = -55 11x = -55 Divide each side by '11'. x = -5 Simplifying x = -5
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