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Simplifying 18 + -2(4x + -7) = 6 + -1(7 + -2x) Reorder the terms: 18 + -2(-7 + 4x) = 6 + -1(7 + -2x) 18 + (-7 * -2 + 4x * -2) = 6 + -1(7 + -2x) 18 + (14 + -8x) = 6 + -1(7 + -2x) Combine like terms: 18 + 14 = 32 32 + -8x = 6 + -1(7 + -2x) 32 + -8x = 6 + (7 * -1 + -2x * -1) 32 + -8x = 6 + (-7 + 2x) Combine like terms: 6 + -7 = -1 32 + -8x = -1 + 2x Solving 32 + -8x = -1 + 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. 32 + -8x + -2x = -1 + 2x + -2x Combine like terms: -8x + -2x = -10x 32 + -10x = -1 + 2x + -2x Combine like terms: 2x + -2x = 0 32 + -10x = -1 + 0 32 + -10x = -1 Add '-32' to each side of the equation. 32 + -32 + -10x = -1 + -32 Combine like terms: 32 + -32 = 0 0 + -10x = -1 + -32 -10x = -1 + -32 Combine like terms: -1 + -32 = -33 -10x = -33 Divide each side by '-10'. x = 3.3 Simplifying x = 3.3
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