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Simplifying 6(x + -8) + 15 = 3(x + -5) Reorder the terms: 6(-8 + x) + 15 = 3(x + -5) (-8 * 6 + x * 6) + 15 = 3(x + -5) (-48 + 6x) + 15 = 3(x + -5) Reorder the terms: -48 + 15 + 6x = 3(x + -5) Combine like terms: -48 + 15 = -33 -33 + 6x = 3(x + -5) Reorder the terms: -33 + 6x = 3(-5 + x) -33 + 6x = (-5 * 3 + x * 3) -33 + 6x = (-15 + 3x) Solving -33 + 6x = -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. -33 + 6x + -3x = -15 + 3x + -3x Combine like terms: 6x + -3x = 3x -33 + 3x = -15 + 3x + -3x Combine like terms: 3x + -3x = 0 -33 + 3x = -15 + 0 -33 + 3x = -15 Add '33' to each side of the equation. -33 + 33 + 3x = -15 + 33 Combine like terms: -33 + 33 = 0 0 + 3x = -15 + 33 3x = -15 + 33 Combine like terms: -15 + 33 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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