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Simplifying 6(x + -1) + -5(4x + -3) = -15(x + 1) + 10 Reorder the terms: 6(-1 + x) + -5(4x + -3) = -15(x + 1) + 10 (-1 * 6 + x * 6) + -5(4x + -3) = -15(x + 1) + 10 (-6 + 6x) + -5(4x + -3) = -15(x + 1) + 10 Reorder the terms: -6 + 6x + -5(-3 + 4x) = -15(x + 1) + 10 -6 + 6x + (-3 * -5 + 4x * -5) = -15(x + 1) + 10 -6 + 6x + (15 + -20x) = -15(x + 1) + 10 Reorder the terms: -6 + 15 + 6x + -20x = -15(x + 1) + 10 Combine like terms: -6 + 15 = 9 9 + 6x + -20x = -15(x + 1) + 10 Combine like terms: 6x + -20x = -14x 9 + -14x = -15(x + 1) + 10 Reorder the terms: 9 + -14x = -15(1 + x) + 10 9 + -14x = (1 * -15 + x * -15) + 10 9 + -14x = (-15 + -15x) + 10 Reorder the terms: 9 + -14x = -15 + 10 + -15x Combine like terms: -15 + 10 = -5 9 + -14x = -5 + -15x Solving 9 + -14x = -5 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 9 + -14x + 15x = -5 + -15x + 15x Combine like terms: -14x + 15x = 1x 9 + 1x = -5 + -15x + 15x Combine like terms: -15x + 15x = 0 9 + 1x = -5 + 0 9 + 1x = -5 Add '-9' to each side of the equation. 9 + -9 + 1x = -5 + -9 Combine like terms: 9 + -9 = 0 0 + 1x = -5 + -9 1x = -5 + -9 Combine like terms: -5 + -9 = -14 1x = -14 Divide each side by '1'. x = -14 Simplifying x = -14
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