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Simplifying 2x + -8 = 3(x + -5) Reorder the terms: -8 + 2x = 3(x + -5) Reorder the terms: -8 + 2x = 3(-5 + x) -8 + 2x = (-5 * 3 + x * 3) -8 + 2x = (-15 + 3x) Solving -8 + 2x = -15 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -8 + 2x + -3x = -15 + 3x + -3x Combine like terms: 2x + -3x = -1x -8 + -1x = -15 + 3x + -3x Combine like terms: 3x + -3x = 0 -8 + -1x = -15 + 0 -8 + -1x = -15 Add '8' to each side of the equation. -8 + 8 + -1x = -15 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = -15 + 8 -1x = -15 + 8 Combine like terms: -15 + 8 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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