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Simplifying 8x + -4(4x + -8) = 5(35 + x) Reorder the terms: 8x + -4(-8 + 4x) = 5(35 + x) 8x + (-8 * -4 + 4x * -4) = 5(35 + x) 8x + (32 + -16x) = 5(35 + x) Reorder the terms: 32 + 8x + -16x = 5(35 + x) Combine like terms: 8x + -16x = -8x 32 + -8x = 5(35 + x) 32 + -8x = (35 * 5 + x * 5) 32 + -8x = (175 + 5x) Solving 32 + -8x = 175 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 32 + -8x + -5x = 175 + 5x + -5x Combine like terms: -8x + -5x = -13x 32 + -13x = 175 + 5x + -5x Combine like terms: 5x + -5x = 0 32 + -13x = 175 + 0 32 + -13x = 175 Add '-32' to each side of the equation. 32 + -32 + -13x = 175 + -32 Combine like terms: 32 + -32 = 0 0 + -13x = 175 + -32 -13x = 175 + -32 Combine like terms: 175 + -32 = 143 -13x = 143 Divide each side by '-13'. x = -11 Simplifying x = -11
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