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Simplifying 3(x + 4) + -5 = 2(3x + -2) + 2 Reorder the terms: 3(4 + x) + -5 = 2(3x + -2) + 2 (4 * 3 + x * 3) + -5 = 2(3x + -2) + 2 (12 + 3x) + -5 = 2(3x + -2) + 2 Reorder the terms: 12 + -5 + 3x = 2(3x + -2) + 2 Combine like terms: 12 + -5 = 7 7 + 3x = 2(3x + -2) + 2 Reorder the terms: 7 + 3x = 2(-2 + 3x) + 2 7 + 3x = (-2 * 2 + 3x * 2) + 2 7 + 3x = (-4 + 6x) + 2 Reorder the terms: 7 + 3x = -4 + 2 + 6x Combine like terms: -4 + 2 = -2 7 + 3x = -2 + 6x Solving 7 + 3x = -2 + 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 + 3x + -6x = -2 + 6x + -6x Combine like terms: 3x + -6x = -3x 7 + -3x = -2 + 6x + -6x Combine like terms: 6x + -6x = 0 7 + -3x = -2 + 0 7 + -3x = -2 Add '-7' to each side of the equation. 7 + -7 + -3x = -2 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = -2 + -7 -3x = -2 + -7 Combine like terms: -2 + -7 = -9 -3x = -9 Divide each side by '-3'. x = 3 Simplifying x = 3
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