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Simplifying 5 + -1(2x + -7) = (9 + -4x) + 6 Reorder the terms: 5 + -1(-7 + 2x) = (9 + -4x) + 6 5 + (-7 * -1 + 2x * -1) = (9 + -4x) + 6 5 + (7 + -2x) = (9 + -4x) + 6 Combine like terms: 5 + 7 = 12 12 + -2x = (9 + -4x) + 6 Remove parenthesis around (9 + -4x) 12 + -2x = 9 + -4x + 6 Reorder the terms: 12 + -2x = 9 + 6 + -4x Combine like terms: 9 + 6 = 15 12 + -2x = 15 + -4x Solving 12 + -2x = 15 + -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. 12 + -2x + 4x = 15 + -4x + 4x Combine like terms: -2x + 4x = 2x 12 + 2x = 15 + -4x + 4x Combine like terms: -4x + 4x = 0 12 + 2x = 15 + 0 12 + 2x = 15 Add '-12' to each side of the equation. 12 + -12 + 2x = 15 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = 15 + -12 2x = 15 + -12 Combine like terms: 15 + -12 = 3 2x = 3 Divide each side by '2'. x = 1.5 Simplifying x = 1.5
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