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Simplifying 2(x + 4) + -3 = 3(2x + -3) + 5 Reorder the terms: 2(4 + x) + -3 = 3(2x + -3) + 5 (4 * 2 + x * 2) + -3 = 3(2x + -3) + 5 (8 + 2x) + -3 = 3(2x + -3) + 5 Reorder the terms: 8 + -3 + 2x = 3(2x + -3) + 5 Combine like terms: 8 + -3 = 5 5 + 2x = 3(2x + -3) + 5 Reorder the terms: 5 + 2x = 3(-3 + 2x) + 5 5 + 2x = (-3 * 3 + 2x * 3) + 5 5 + 2x = (-9 + 6x) + 5 Reorder the terms: 5 + 2x = -9 + 5 + 6x Combine like terms: -9 + 5 = -4 5 + 2x = -4 + 6x Solving 5 + 2x = -4 + 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. 5 + 2x + -6x = -4 + 6x + -6x Combine like terms: 2x + -6x = -4x 5 + -4x = -4 + 6x + -6x Combine like terms: 6x + -6x = 0 5 + -4x = -4 + 0 5 + -4x = -4 Add '-5' to each side of the equation. 5 + -5 + -4x = -4 + -5 Combine like terms: 5 + -5 = 0 0 + -4x = -4 + -5 -4x = -4 + -5 Combine like terms: -4 + -5 = -9 -4x = -9 Divide each side by '-4'. x = 2.25 Simplifying x = 2.25
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