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Simplifying 8(2x + -7) = 4(x + 10) Reorder the terms: 8(-7 + 2x) = 4(x + 10) (-7 * 8 + 2x * 8) = 4(x + 10) (-56 + 16x) = 4(x + 10) Reorder the terms: -56 + 16x = 4(10 + x) -56 + 16x = (10 * 4 + x * 4) -56 + 16x = (40 + 4x) Solving -56 + 16x = 40 + 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. -56 + 16x + -4x = 40 + 4x + -4x Combine like terms: 16x + -4x = 12x -56 + 12x = 40 + 4x + -4x Combine like terms: 4x + -4x = 0 -56 + 12x = 40 + 0 -56 + 12x = 40 Add '56' to each side of the equation. -56 + 56 + 12x = 40 + 56 Combine like terms: -56 + 56 = 0 0 + 12x = 40 + 56 12x = 40 + 56 Combine like terms: 40 + 56 = 96 12x = 96 Divide each side by '12'. x = 8 Simplifying x = 8
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