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Simplifying 3x + 5 + -8x = 3(x + -15) + 2 Reorder the terms: 5 + 3x + -8x = 3(x + -15) + 2 Combine like terms: 3x + -8x = -5x 5 + -5x = 3(x + -15) + 2 Reorder the terms: 5 + -5x = 3(-15 + x) + 2 5 + -5x = (-15 * 3 + x * 3) + 2 5 + -5x = (-45 + 3x) + 2 Reorder the terms: 5 + -5x = -45 + 2 + 3x Combine like terms: -45 + 2 = -43 5 + -5x = -43 + 3x Solving 5 + -5x = -43 + 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. 5 + -5x + -3x = -43 + 3x + -3x Combine like terms: -5x + -3x = -8x 5 + -8x = -43 + 3x + -3x Combine like terms: 3x + -3x = 0 5 + -8x = -43 + 0 5 + -8x = -43 Add '-5' to each side of the equation. 5 + -5 + -8x = -43 + -5 Combine like terms: 5 + -5 = 0 0 + -8x = -43 + -5 -8x = -43 + -5 Combine like terms: -43 + -5 = -48 -8x = -48 Divide each side by '-8'. x = 6 Simplifying x = 6
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