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Simplifying -5 + 9 + -6(x + -1) = -1(4x + -3) + -6x + 6 Reorder the terms: -5 + 9 + -6(-1 + x) = -1(4x + -3) + -6x + 6 -5 + 9 + (-1 * -6 + x * -6) = -1(4x + -3) + -6x + 6 -5 + 9 + (6 + -6x) = -1(4x + -3) + -6x + 6 Combine like terms: -5 + 9 = 4 4 + 6 + -6x = -1(4x + -3) + -6x + 6 Combine like terms: 4 + 6 = 10 10 + -6x = -1(4x + -3) + -6x + 6 Reorder the terms: 10 + -6x = -1(-3 + 4x) + -6x + 6 10 + -6x = (-3 * -1 + 4x * -1) + -6x + 6 10 + -6x = (3 + -4x) + -6x + 6 Reorder the terms: 10 + -6x = 3 + 6 + -4x + -6x Combine like terms: 3 + 6 = 9 10 + -6x = 9 + -4x + -6x Combine like terms: -4x + -6x = -10x 10 + -6x = 9 + -10x Solving 10 + -6x = 9 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 10 + -6x + 10x = 9 + -10x + 10x Combine like terms: -6x + 10x = 4x 10 + 4x = 9 + -10x + 10x Combine like terms: -10x + 10x = 0 10 + 4x = 9 + 0 10 + 4x = 9 Add '-10' to each side of the equation. 10 + -10 + 4x = 9 + -10 Combine like terms: 10 + -10 = 0 0 + 4x = 9 + -10 4x = 9 + -10 Combine like terms: 9 + -10 = -1 4x = -1 Divide each side by '4'. x = -0.25 Simplifying x = -0.25
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