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Simplifying 3(x + 3) + -2(x + 1) = 6(x + -2) Reorder the terms: 3(3 + x) + -2(x + 1) = 6(x + -2) (3 * 3 + x * 3) + -2(x + 1) = 6(x + -2) (9 + 3x) + -2(x + 1) = 6(x + -2) Reorder the terms: 9 + 3x + -2(1 + x) = 6(x + -2) 9 + 3x + (1 * -2 + x * -2) = 6(x + -2) 9 + 3x + (-2 + -2x) = 6(x + -2) Reorder the terms: 9 + -2 + 3x + -2x = 6(x + -2) Combine like terms: 9 + -2 = 7 7 + 3x + -2x = 6(x + -2) Combine like terms: 3x + -2x = 1x 7 + 1x = 6(x + -2) Reorder the terms: 7 + 1x = 6(-2 + x) 7 + 1x = (-2 * 6 + x * 6) 7 + 1x = (-12 + 6x) Solving 7 + 1x = -12 + 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. 7 + 1x + -6x = -12 + 6x + -6x Combine like terms: 1x + -6x = -5x 7 + -5x = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 7 + -5x = -12 + 0 7 + -5x = -12 Add '-7' to each side of the equation. 7 + -7 + -5x = -12 + -7 Combine like terms: 7 + -7 = 0 0 + -5x = -12 + -7 -5x = -12 + -7 Combine like terms: -12 + -7 = -19 -5x = -19 Divide each side by '-5'. x = 3.8 Simplifying x = 3.8
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