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Simplifying 3(4x + -2) + -1x = -2(2x + 5) + 19 Reorder the terms: 3(-2 + 4x) + -1x = -2(2x + 5) + 19 (-2 * 3 + 4x * 3) + -1x = -2(2x + 5) + 19 (-6 + 12x) + -1x = -2(2x + 5) + 19 Combine like terms: 12x + -1x = 11x -6 + 11x = -2(2x + 5) + 19 Reorder the terms: -6 + 11x = -2(5 + 2x) + 19 -6 + 11x = (5 * -2 + 2x * -2) + 19 -6 + 11x = (-10 + -4x) + 19 Reorder the terms: -6 + 11x = -10 + 19 + -4x Combine like terms: -10 + 19 = 9 -6 + 11x = 9 + -4x Solving -6 + 11x = 9 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -6 + 11x + 4x = 9 + -4x + 4x Combine like terms: 11x + 4x = 15x -6 + 15x = 9 + -4x + 4x Combine like terms: -4x + 4x = 0 -6 + 15x = 9 + 0 -6 + 15x = 9 Add '6' to each side of the equation. -6 + 6 + 15x = 9 + 6 Combine like terms: -6 + 6 = 0 0 + 15x = 9 + 6 15x = 9 + 6 Combine like terms: 9 + 6 = 15 15x = 15 Divide each side by '15'. x = 1 Simplifying x = 1
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