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