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Simplifying 2(x + -5) + 3(8 + -2) = 8 + 7(x + -4) Reorder the terms: 2(-5 + x) + 3(8 + -2) = 8 + 7(x + -4) (-5 * 2 + x * 2) + 3(8 + -2) = 8 + 7(x + -4) (-10 + 2x) + 3(8 + -2) = 8 + 7(x + -4) Combine like terms: 8 + -2 = 6 -10 + 2x + 3(6) = 8 + 7(x + -4) Multiply 3 * 6 -10 + 2x + 18 = 8 + 7(x + -4) Reorder the terms: -10 + 18 + 2x = 8 + 7(x + -4) Combine like terms: -10 + 18 = 8 8 + 2x = 8 + 7(x + -4) Reorder the terms: 8 + 2x = 8 + 7(-4 + x) 8 + 2x = 8 + (-4 * 7 + x * 7) 8 + 2x = 8 + (-28 + 7x) Combine like terms: 8 + -28 = -20 8 + 2x = -20 + 7x Solving 8 + 2x = -20 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 8 + 2x + -7x = -20 + 7x + -7x Combine like terms: 2x + -7x = -5x 8 + -5x = -20 + 7x + -7x Combine like terms: 7x + -7x = 0 8 + -5x = -20 + 0 8 + -5x = -20 Add '-8' to each side of the equation. 8 + -8 + -5x = -20 + -8 Combine like terms: 8 + -8 = 0 0 + -5x = -20 + -8 -5x = -20 + -8 Combine like terms: -20 + -8 = -28 -5x = -28 Divide each side by '-5'. x = 5.6 Simplifying x = 5.6
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