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Simplifying 4(5x + -7) = 8(x + -2) Reorder the terms: 4(-7 + 5x) = 8(x + -2) (-7 * 4 + 5x * 4) = 8(x + -2) (-28 + 20x) = 8(x + -2) Reorder the terms: -28 + 20x = 8(-2 + x) -28 + 20x = (-2 * 8 + x * 8) -28 + 20x = (-16 + 8x) Solving -28 + 20x = -16 + 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. -28 + 20x + -8x = -16 + 8x + -8x Combine like terms: 20x + -8x = 12x -28 + 12x = -16 + 8x + -8x Combine like terms: 8x + -8x = 0 -28 + 12x = -16 + 0 -28 + 12x = -16 Add '28' to each side of the equation. -28 + 28 + 12x = -16 + 28 Combine like terms: -28 + 28 = 0 0 + 12x = -16 + 28 12x = -16 + 28 Combine like terms: -16 + 28 = 12 12x = 12 Divide each side by '12'. x = 1 Simplifying x = 1
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