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Simplifying 4x + 5(-2x + 8) = 4(7 + -2x) Reorder the terms: 4x + 5(8 + -2x) = 4(7 + -2x) 4x + (8 * 5 + -2x * 5) = 4(7 + -2x) 4x + (40 + -10x) = 4(7 + -2x) Reorder the terms: 40 + 4x + -10x = 4(7 + -2x) Combine like terms: 4x + -10x = -6x 40 + -6x = 4(7 + -2x) 40 + -6x = (7 * 4 + -2x * 4) 40 + -6x = (28 + -8x) Solving 40 + -6x = 28 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 40 + -6x + 8x = 28 + -8x + 8x Combine like terms: -6x + 8x = 2x 40 + 2x = 28 + -8x + 8x Combine like terms: -8x + 8x = 0 40 + 2x = 28 + 0 40 + 2x = 28 Add '-40' to each side of the equation. 40 + -40 + 2x = 28 + -40 Combine like terms: 40 + -40 = 0 0 + 2x = 28 + -40 2x = 28 + -40 Combine like terms: 28 + -40 = -12 2x = -12 Divide each side by '2'. x = -6 Simplifying x = -6
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