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Simplifying 3(x + -5) + 7 = 2(x + 1) + 6 Reorder the terms: 3(-5 + x) + 7 = 2(x + 1) + 6 (-5 * 3 + x * 3) + 7 = 2(x + 1) + 6 (-15 + 3x) + 7 = 2(x + 1) + 6 Reorder the terms: -15 + 7 + 3x = 2(x + 1) + 6 Combine like terms: -15 + 7 = -8 -8 + 3x = 2(x + 1) + 6 Reorder the terms: -8 + 3x = 2(1 + x) + 6 -8 + 3x = (1 * 2 + x * 2) + 6 -8 + 3x = (2 + 2x) + 6 Reorder the terms: -8 + 3x = 2 + 6 + 2x Combine like terms: 2 + 6 = 8 -8 + 3x = 8 + 2x Solving -8 + 3x = 8 + 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. -8 + 3x + -2x = 8 + 2x + -2x Combine like terms: 3x + -2x = 1x -8 + 1x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + 1x = 8 + 0 -8 + 1x = 8 Add '8' to each side of the equation. -8 + 8 + 1x = 8 + 8 Combine like terms: -8 + 8 = 0 0 + 1x = 8 + 8 1x = 8 + 8 Combine like terms: 8 + 8 = 16 1x = 16 Divide each side by '1'. x = 16 Simplifying x = 16
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