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Simplifying 2(x + -4) + 15 = 3(2x + 1) + -2x Reorder the terms: 2(-4 + x) + 15 = 3(2x + 1) + -2x (-4 * 2 + x * 2) + 15 = 3(2x + 1) + -2x (-8 + 2x) + 15 = 3(2x + 1) + -2x Reorder the terms: -8 + 15 + 2x = 3(2x + 1) + -2x Combine like terms: -8 + 15 = 7 7 + 2x = 3(2x + 1) + -2x Reorder the terms: 7 + 2x = 3(1 + 2x) + -2x 7 + 2x = (1 * 3 + 2x * 3) + -2x 7 + 2x = (3 + 6x) + -2x Combine like terms: 6x + -2x = 4x 7 + 2x = 3 + 4x Solving 7 + 2x = 3 + 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 = 3 + 4x + -4x Combine like terms: 2x + -4x = -2x 7 + -2x = 3 + 4x + -4x Combine like terms: 4x + -4x = 0 7 + -2x = 3 + 0 7 + -2x = 3 Add '-7' to each side of the equation. 7 + -7 + -2x = 3 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = 3 + -7 -2x = 3 + -7 Combine like terms: 3 + -7 = -4 -2x = -4 Divide each side by '-2'. x = 2 Simplifying x = 2
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