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Simplifying -7(2x + -4) + 8x = 4(x + 5) Reorder the terms: -7(-4 + 2x) + 8x = 4(x + 5) (-4 * -7 + 2x * -7) + 8x = 4(x + 5) (28 + -14x) + 8x = 4(x + 5) Combine like terms: -14x + 8x = -6x 28 + -6x = 4(x + 5) Reorder the terms: 28 + -6x = 4(5 + x) 28 + -6x = (5 * 4 + x * 4) 28 + -6x = (20 + 4x) Solving 28 + -6x = 20 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 28 + -6x + -4x = 20 + 4x + -4x Combine like terms: -6x + -4x = -10x 28 + -10x = 20 + 4x + -4x Combine like terms: 4x + -4x = 0 28 + -10x = 20 + 0 28 + -10x = 20 Add '-28' to each side of the equation. 28 + -28 + -10x = 20 + -28 Combine like terms: 28 + -28 = 0 0 + -10x = 20 + -28 -10x = 20 + -28 Combine like terms: 20 + -28 = -8 -10x = -8 Divide each side by '-10'. x = 0.8 Simplifying x = 0.8
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