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Simplifying 9 + -2(x + -2) = -3(x + 1) + 4 Reorder the terms: 9 + -2(-2 + x) = -3(x + 1) + 4 9 + (-2 * -2 + x * -2) = -3(x + 1) + 4 9 + (4 + -2x) = -3(x + 1) + 4 Combine like terms: 9 + 4 = 13 13 + -2x = -3(x + 1) + 4 Reorder the terms: 13 + -2x = -3(1 + x) + 4 13 + -2x = (1 * -3 + x * -3) + 4 13 + -2x = (-3 + -3x) + 4 Reorder the terms: 13 + -2x = -3 + 4 + -3x Combine like terms: -3 + 4 = 1 13 + -2x = 1 + -3x Solving 13 + -2x = 1 + -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. 13 + -2x + 3x = 1 + -3x + 3x Combine like terms: -2x + 3x = 1x 13 + 1x = 1 + -3x + 3x Combine like terms: -3x + 3x = 0 13 + 1x = 1 + 0 13 + 1x = 1 Add '-13' to each side of the equation. 13 + -13 + 1x = 1 + -13 Combine like terms: 13 + -13 = 0 0 + 1x = 1 + -13 1x = 1 + -13 Combine like terms: 1 + -13 = -12 1x = -12 Divide each side by '1'. x = -12 Simplifying x = -12
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