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Simplifying 3(x + -5) + 2x = 6(x + 1) Reorder the terms: 3(-5 + x) + 2x = 6(x + 1) (-5 * 3 + x * 3) + 2x = 6(x + 1) (-15 + 3x) + 2x = 6(x + 1) Combine like terms: 3x + 2x = 5x -15 + 5x = 6(x + 1) Reorder the terms: -15 + 5x = 6(1 + x) -15 + 5x = (1 * 6 + x * 6) -15 + 5x = (6 + 6x) Solving -15 + 5x = 6 + 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. -15 + 5x + -6x = 6 + 6x + -6x Combine like terms: 5x + -6x = -1x -15 + -1x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 -15 + -1x = 6 + 0 -15 + -1x = 6 Add '15' to each side of the equation. -15 + 15 + -1x = 6 + 15 Combine like terms: -15 + 15 = 0 0 + -1x = 6 + 15 -1x = 6 + 15 Combine like terms: 6 + 15 = 21 -1x = 21 Divide each side by '-1'. x = -21 Simplifying x = -21
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