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Simplifying 5 = -3(2x + 1) + 2(4x + 2) Reorder the terms: 5 = -3(1 + 2x) + 2(4x + 2) 5 = (1 * -3 + 2x * -3) + 2(4x + 2) 5 = (-3 + -6x) + 2(4x + 2) Reorder the terms: 5 = -3 + -6x + 2(2 + 4x) 5 = -3 + -6x + (2 * 2 + 4x * 2) 5 = -3 + -6x + (4 + 8x) Reorder the terms: 5 = -3 + 4 + -6x + 8x Combine like terms: -3 + 4 = 1 5 = 1 + -6x + 8x Combine like terms: -6x + 8x = 2x 5 = 1 + 2x Solving 5 = 1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 5 + -2x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + -2x = 1 + 0 5 + -2x = 1 Add '-5' to each side of the equation. 5 + -5 + -2x = 1 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 1 + -5 -2x = 1 + -5 Combine like terms: 1 + -5 = -4 -2x = -4 Divide each side by '-2'. x = 2 Simplifying x = 2
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