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Simplifying 3(5x + -3) + 4(14 + -2x) + -2(3x + 1) = -1 Reorder the terms: 3(-3 + 5x) + 4(14 + -2x) + -2(3x + 1) = -1 (-3 * 3 + 5x * 3) + 4(14 + -2x) + -2(3x + 1) = -1 (-9 + 15x) + 4(14 + -2x) + -2(3x + 1) = -1 -9 + 15x + (14 * 4 + -2x * 4) + -2(3x + 1) = -1 -9 + 15x + (56 + -8x) + -2(3x + 1) = -1 Reorder the terms: -9 + 15x + 56 + -8x + -2(1 + 3x) = -1 -9 + 15x + 56 + -8x + (1 * -2 + 3x * -2) = -1 -9 + 15x + 56 + -8x + (-2 + -6x) = -1 Reorder the terms: -9 + 56 + -2 + 15x + -8x + -6x = -1 Combine like terms: -9 + 56 = 47 47 + -2 + 15x + -8x + -6x = -1 Combine like terms: 47 + -2 = 45 45 + 15x + -8x + -6x = -1 Combine like terms: 15x + -8x = 7x 45 + 7x + -6x = -1 Combine like terms: 7x + -6x = 1x 45 + 1x = -1 Solving 45 + 1x = -1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 1x = -1 + -45 Combine like terms: 45 + -45 = 0 0 + 1x = -1 + -45 1x = -1 + -45 Combine like terms: -1 + -45 = -46 1x = -46 Divide each side by '1'. x = -46 Simplifying x = -46
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