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Simplifying 3x + 6 + -4x + -1(x + -8) = 4(x + 10) Reorder the terms: 3x + 6 + -4x + -1(-8 + x) = 4(x + 10) 3x + 6 + -4x + (-8 * -1 + x * -1) = 4(x + 10) 3x + 6 + -4x + (8 + -1x) = 4(x + 10) Reorder the terms: 6 + 8 + 3x + -4x + -1x = 4(x + 10) Combine like terms: 6 + 8 = 14 14 + 3x + -4x + -1x = 4(x + 10) Combine like terms: 3x + -4x = -1x 14 + -1x + -1x = 4(x + 10) Combine like terms: -1x + -1x = -2x 14 + -2x = 4(x + 10) Reorder the terms: 14 + -2x = 4(10 + x) 14 + -2x = (10 * 4 + x * 4) 14 + -2x = (40 + 4x) Solving 14 + -2x = 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. 14 + -2x + -4x = 40 + 4x + -4x Combine like terms: -2x + -4x = -6x 14 + -6x = 40 + 4x + -4x Combine like terms: 4x + -4x = 0 14 + -6x = 40 + 0 14 + -6x = 40 Add '-14' to each side of the equation. 14 + -14 + -6x = 40 + -14 Combine like terms: 14 + -14 = 0 0 + -6x = 40 + -14 -6x = 40 + -14 Combine like terms: 40 + -14 = 26 -6x = 26 Divide each side by '-6'. x = -4.333333333 Simplifying x = -4.333333333
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