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Simplifying 2(x + 4) + -5 = 3(2x + -5) Reorder the terms: 2(4 + x) + -5 = 3(2x + -5) (4 * 2 + x * 2) + -5 = 3(2x + -5) (8 + 2x) + -5 = 3(2x + -5) Reorder the terms: 8 + -5 + 2x = 3(2x + -5) Combine like terms: 8 + -5 = 3 3 + 2x = 3(2x + -5) Reorder the terms: 3 + 2x = 3(-5 + 2x) 3 + 2x = (-5 * 3 + 2x * 3) 3 + 2x = (-15 + 6x) Solving 3 + 2x = -15 + 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 + 2x + -6x = -15 + 6x + -6x Combine like terms: 2x + -6x = -4x 3 + -4x = -15 + 6x + -6x Combine like terms: 6x + -6x = 0 3 + -4x = -15 + 0 3 + -4x = -15 Add '-3' to each side of the equation. 3 + -3 + -4x = -15 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = -15 + -3 -4x = -15 + -3 Combine like terms: -15 + -3 = -18 -4x = -18 Divide each side by '-4'. x = 4.5 Simplifying x = 4.5
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