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Simplifying 5(x + 2) = (3x + -7) * 8 Reorder the terms: 5(2 + x) = (3x + -7) * 8 (2 * 5 + x * 5) = (3x + -7) * 8 (10 + 5x) = (3x + -7) * 8 Reorder the terms: 10 + 5x = (-7 + 3x) * 8 Reorder the terms for easier multiplication: 10 + 5x = 8(-7 + 3x) 10 + 5x = (-7 * 8 + 3x * 8) 10 + 5x = (-56 + 24x) Solving 10 + 5x = -56 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 10 + 5x + -24x = -56 + 24x + -24x Combine like terms: 5x + -24x = -19x 10 + -19x = -56 + 24x + -24x Combine like terms: 24x + -24x = 0 10 + -19x = -56 + 0 10 + -19x = -56 Add '-10' to each side of the equation. 10 + -10 + -19x = -56 + -10 Combine like terms: 10 + -10 = 0 0 + -19x = -56 + -10 -19x = -56 + -10 Combine like terms: -56 + -10 = -66 -19x = -66 Divide each side by '-19'. x = 3.473684211 Simplifying x = 3.473684211
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