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Simplifying -6(x + 1) + 3 = 18 + -1(x + -4) Reorder the terms: -6(1 + x) + 3 = 18 + -1(x + -4) (1 * -6 + x * -6) + 3 = 18 + -1(x + -4) (-6 + -6x) + 3 = 18 + -1(x + -4) Reorder the terms: -6 + 3 + -6x = 18 + -1(x + -4) Combine like terms: -6 + 3 = -3 -3 + -6x = 18 + -1(x + -4) Reorder the terms: -3 + -6x = 18 + -1(-4 + x) -3 + -6x = 18 + (-4 * -1 + x * -1) -3 + -6x = 18 + (4 + -1x) Combine like terms: 18 + 4 = 22 -3 + -6x = 22 + -1x Solving -3 + -6x = 22 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -3 + -6x + x = 22 + -1x + x Combine like terms: -6x + x = -5x -3 + -5x = 22 + -1x + x Combine like terms: -1x + x = 0 -3 + -5x = 22 + 0 -3 + -5x = 22 Add '3' to each side of the equation. -3 + 3 + -5x = 22 + 3 Combine like terms: -3 + 3 = 0 0 + -5x = 22 + 3 -5x = 22 + 3 Combine like terms: 22 + 3 = 25 -5x = 25 Divide each side by '-5'. x = -5 Simplifying x = -5
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