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