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Simplifying 3(x + 6) + -8 = 2(4x + -15) + 7 Reorder the terms: 3(6 + x) + -8 = 2(4x + -15) + 7 (6 * 3 + x * 3) + -8 = 2(4x + -15) + 7 (18 + 3x) + -8 = 2(4x + -15) + 7 Reorder the terms: 18 + -8 + 3x = 2(4x + -15) + 7 Combine like terms: 18 + -8 = 10 10 + 3x = 2(4x + -15) + 7 Reorder the terms: 10 + 3x = 2(-15 + 4x) + 7 10 + 3x = (-15 * 2 + 4x * 2) + 7 10 + 3x = (-30 + 8x) + 7 Reorder the terms: 10 + 3x = -30 + 7 + 8x Combine like terms: -30 + 7 = -23 10 + 3x = -23 + 8x Solving 10 + 3x = -23 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 10 + 3x + -8x = -23 + 8x + -8x Combine like terms: 3x + -8x = -5x 10 + -5x = -23 + 8x + -8x Combine like terms: 8x + -8x = 0 10 + -5x = -23 + 0 10 + -5x = -23 Add '-10' to each side of the equation. 10 + -10 + -5x = -23 + -10 Combine like terms: 10 + -10 = 0 0 + -5x = -23 + -10 -5x = -23 + -10 Combine like terms: -23 + -10 = -33 -5x = -33 Divide each side by '-5'. x = 6.6 Simplifying x = 6.6
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