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Simplifying 3(x + 1) = 6(x + -2) + 3 Reorder the terms: 3(1 + x) = 6(x + -2) + 3 (1 * 3 + x * 3) = 6(x + -2) + 3 (3 + 3x) = 6(x + -2) + 3 Reorder the terms: 3 + 3x = 6(-2 + x) + 3 3 + 3x = (-2 * 6 + x * 6) + 3 3 + 3x = (-12 + 6x) + 3 Reorder the terms: 3 + 3x = -12 + 3 + 6x Combine like terms: -12 + 3 = -9 3 + 3x = -9 + 6x Solving 3 + 3x = -9 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 3 + 3x + -6x = -9 + 6x + -6x Combine like terms: 3x + -6x = -3x 3 + -3x = -9 + 6x + -6x Combine like terms: 6x + -6x = 0 3 + -3x = -9 + 0 3 + -3x = -9 Add '-3' to each side of the equation. 3 + -3 + -3x = -9 + -3 Combine like terms: 3 + -3 = 0 0 + -3x = -9 + -3 -3x = -9 + -3 Combine like terms: -9 + -3 = -12 -3x = -12 Divide each side by '-3'. x = 4 Simplifying x = 4
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