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Simplifying 2(2x + 5) = 3(2x + 7) + 4(2x + -1) Reorder the terms: 2(5 + 2x) = 3(2x + 7) + 4(2x + -1) (5 * 2 + 2x * 2) = 3(2x + 7) + 4(2x + -1) (10 + 4x) = 3(2x + 7) + 4(2x + -1) Reorder the terms: 10 + 4x = 3(7 + 2x) + 4(2x + -1) 10 + 4x = (7 * 3 + 2x * 3) + 4(2x + -1) 10 + 4x = (21 + 6x) + 4(2x + -1) Reorder the terms: 10 + 4x = 21 + 6x + 4(-1 + 2x) 10 + 4x = 21 + 6x + (-1 * 4 + 2x * 4) 10 + 4x = 21 + 6x + (-4 + 8x) Reorder the terms: 10 + 4x = 21 + -4 + 6x + 8x Combine like terms: 21 + -4 = 17 10 + 4x = 17 + 6x + 8x Combine like terms: 6x + 8x = 14x 10 + 4x = 17 + 14x Solving 10 + 4x = 17 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 10 + 4x + -14x = 17 + 14x + -14x Combine like terms: 4x + -14x = -10x 10 + -10x = 17 + 14x + -14x Combine like terms: 14x + -14x = 0 10 + -10x = 17 + 0 10 + -10x = 17 Add '-10' to each side of the equation. 10 + -10 + -10x = 17 + -10 Combine like terms: 10 + -10 = 0 0 + -10x = 17 + -10 -10x = 17 + -10 Combine like terms: 17 + -10 = 7 -10x = 7 Divide each side by '-10'. x = -0.7 Simplifying x = -0.7
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