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Simplifying 4(6 + -1x) + 2x = 5(x + 7) + 3 (6 * 4 + -1x * 4) + 2x = 5(x + 7) + 3 (24 + -4x) + 2x = 5(x + 7) + 3 Combine like terms: -4x + 2x = -2x 24 + -2x = 5(x + 7) + 3 Reorder the terms: 24 + -2x = 5(7 + x) + 3 24 + -2x = (7 * 5 + x * 5) + 3 24 + -2x = (35 + 5x) + 3 Reorder the terms: 24 + -2x = 35 + 3 + 5x Combine like terms: 35 + 3 = 38 24 + -2x = 38 + 5x Solving 24 + -2x = 38 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 24 + -2x + -5x = 38 + 5x + -5x Combine like terms: -2x + -5x = -7x 24 + -7x = 38 + 5x + -5x Combine like terms: 5x + -5x = 0 24 + -7x = 38 + 0 24 + -7x = 38 Add '-24' to each side of the equation. 24 + -24 + -7x = 38 + -24 Combine like terms: 24 + -24 = 0 0 + -7x = 38 + -24 -7x = 38 + -24 Combine like terms: 38 + -24 = 14 -7x = 14 Divide each side by '-7'. x = -2 Simplifying x = -2
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