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Simplifying 4x + 6 = 7 + -1(2x + -8) Reorder the terms: 6 + 4x = 7 + -1(2x + -8) Reorder the terms: 6 + 4x = 7 + -1(-8 + 2x) 6 + 4x = 7 + (-8 * -1 + 2x * -1) 6 + 4x = 7 + (8 + -2x) Combine like terms: 7 + 8 = 15 6 + 4x = 15 + -2x Solving 6 + 4x = 15 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 6 + 4x + 2x = 15 + -2x + 2x Combine like terms: 4x + 2x = 6x 6 + 6x = 15 + -2x + 2x Combine like terms: -2x + 2x = 0 6 + 6x = 15 + 0 6 + 6x = 15 Add '-6' to each side of the equation. 6 + -6 + 6x = 15 + -6 Combine like terms: 6 + -6 = 0 0 + 6x = 15 + -6 6x = 15 + -6 Combine like terms: 15 + -6 = 9 6x = 9 Divide each side by '6'. x = 1.5 Simplifying x = 1.5
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