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Simplifying 3(x + 5) + -3 = 4(x + 4) + -2x Reorder the terms: 3(5 + x) + -3 = 4(x + 4) + -2x (5 * 3 + x * 3) + -3 = 4(x + 4) + -2x (15 + 3x) + -3 = 4(x + 4) + -2x Reorder the terms: 15 + -3 + 3x = 4(x + 4) + -2x Combine like terms: 15 + -3 = 12 12 + 3x = 4(x + 4) + -2x Reorder the terms: 12 + 3x = 4(4 + x) + -2x 12 + 3x = (4 * 4 + x * 4) + -2x 12 + 3x = (16 + 4x) + -2x Combine like terms: 4x + -2x = 2x 12 + 3x = 16 + 2x Solving 12 + 3x = 16 + 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. 12 + 3x + -2x = 16 + 2x + -2x Combine like terms: 3x + -2x = 1x 12 + 1x = 16 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + 1x = 16 + 0 12 + 1x = 16 Add '-12' to each side of the equation. 12 + -12 + 1x = 16 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 16 + -12 1x = 16 + -12 Combine like terms: 16 + -12 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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