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