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Simplifying 3 + -2(x + -2) = 5(2x + -3) + -2(3x + -3) Reorder the terms: 3 + -2(-2 + x) = 5(2x + -3) + -2(3x + -3) 3 + (-2 * -2 + x * -2) = 5(2x + -3) + -2(3x + -3) 3 + (4 + -2x) = 5(2x + -3) + -2(3x + -3) Combine like terms: 3 + 4 = 7 7 + -2x = 5(2x + -3) + -2(3x + -3) Reorder the terms: 7 + -2x = 5(-3 + 2x) + -2(3x + -3) 7 + -2x = (-3 * 5 + 2x * 5) + -2(3x + -3) 7 + -2x = (-15 + 10x) + -2(3x + -3) Reorder the terms: 7 + -2x = -15 + 10x + -2(-3 + 3x) 7 + -2x = -15 + 10x + (-3 * -2 + 3x * -2) 7 + -2x = -15 + 10x + (6 + -6x) Reorder the terms: 7 + -2x = -15 + 6 + 10x + -6x Combine like terms: -15 + 6 = -9 7 + -2x = -9 + 10x + -6x Combine like terms: 10x + -6x = 4x 7 + -2x = -9 + 4x Solving 7 + -2x = -9 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 7 + -2x + -4x = -9 + 4x + -4x Combine like terms: -2x + -4x = -6x 7 + -6x = -9 + 4x + -4x Combine like terms: 4x + -4x = 0 7 + -6x = -9 + 0 7 + -6x = -9 Add '-7' to each side of the equation. 7 + -7 + -6x = -9 + -7 Combine like terms: 7 + -7 = 0 0 + -6x = -9 + -7 -6x = -9 + -7 Combine like terms: -9 + -7 = -16 -6x = -16 Divide each side by '-6'. x = 2.666666667 Simplifying x = 2.666666667
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