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Simplifying 5(x + 4) = 7(x + -7) + 10 Reorder the terms: 5(4 + x) = 7(x + -7) + 10 (4 * 5 + x * 5) = 7(x + -7) + 10 (20 + 5x) = 7(x + -7) + 10 Reorder the terms: 20 + 5x = 7(-7 + x) + 10 20 + 5x = (-7 * 7 + x * 7) + 10 20 + 5x = (-49 + 7x) + 10 Reorder the terms: 20 + 5x = -49 + 10 + 7x Combine like terms: -49 + 10 = -39 20 + 5x = -39 + 7x Solving 20 + 5x = -39 + 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. 20 + 5x + -7x = -39 + 7x + -7x Combine like terms: 5x + -7x = -2x 20 + -2x = -39 + 7x + -7x Combine like terms: 7x + -7x = 0 20 + -2x = -39 + 0 20 + -2x = -39 Add '-20' to each side of the equation. 20 + -20 + -2x = -39 + -20 Combine like terms: 20 + -20 = 0 0 + -2x = -39 + -20 -2x = -39 + -20 Combine like terms: -39 + -20 = -59 -2x = -59 Divide each side by '-2'. x = 29.5 Simplifying x = 29.5
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