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Simplifying 3(x + -5) + -4x = 6(x + -10) + -1(x + 5) Reorder the terms: 3(-5 + x) + -4x = 6(x + -10) + -1(x + 5) (-5 * 3 + x * 3) + -4x = 6(x + -10) + -1(x + 5) (-15 + 3x) + -4x = 6(x + -10) + -1(x + 5) Combine like terms: 3x + -4x = -1x -15 + -1x = 6(x + -10) + -1(x + 5) Reorder the terms: -15 + -1x = 6(-10 + x) + -1(x + 5) -15 + -1x = (-10 * 6 + x * 6) + -1(x + 5) -15 + -1x = (-60 + 6x) + -1(x + 5) Reorder the terms: -15 + -1x = -60 + 6x + -1(5 + x) -15 + -1x = -60 + 6x + (5 * -1 + x * -1) -15 + -1x = -60 + 6x + (-5 + -1x) Reorder the terms: -15 + -1x = -60 + -5 + 6x + -1x Combine like terms: -60 + -5 = -65 -15 + -1x = -65 + 6x + -1x Combine like terms: 6x + -1x = 5x -15 + -1x = -65 + 5x Solving -15 + -1x = -65 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -15 + -1x + -5x = -65 + 5x + -5x Combine like terms: -1x + -5x = -6x -15 + -6x = -65 + 5x + -5x Combine like terms: 5x + -5x = 0 -15 + -6x = -65 + 0 -15 + -6x = -65 Add '15' to each side of the equation. -15 + 15 + -6x = -65 + 15 Combine like terms: -15 + 15 = 0 0 + -6x = -65 + 15 -6x = -65 + 15 Combine like terms: -65 + 15 = -50 -6x = -50 Divide each side by '-6'. x = 8.333333333 Simplifying x = 8.333333333
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