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Simplifying 7 + -1(x + -8) = 4x + -6 Reorder the terms: 7 + -1(-8 + x) = 4x + -6 7 + (-8 * -1 + x * -1) = 4x + -6 7 + (8 + -1x) = 4x + -6 Combine like terms: 7 + 8 = 15 15 + -1x = 4x + -6 Reorder the terms: 15 + -1x = -6 + 4x Solving 15 + -1x = -6 + 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. 15 + -1x + -4x = -6 + 4x + -4x Combine like terms: -1x + -4x = -5x 15 + -5x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 15 + -5x = -6 + 0 15 + -5x = -6 Add '-15' to each side of the equation. 15 + -15 + -5x = -6 + -15 Combine like terms: 15 + -15 = 0 0 + -5x = -6 + -15 -5x = -6 + -15 Combine like terms: -6 + -15 = -21 -5x = -21 Divide each side by '-5'. x = 4.2 Simplifying x = 4.2
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