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Simplifying 5 + -4(2x + -3) = 2x + 7 Reorder the terms: 5 + -4(-3 + 2x) = 2x + 7 5 + (-3 * -4 + 2x * -4) = 2x + 7 5 + (12 + -8x) = 2x + 7 Combine like terms: 5 + 12 = 17 17 + -8x = 2x + 7 Reorder the terms: 17 + -8x = 7 + 2x Solving 17 + -8x = 7 + 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. 17 + -8x + -2x = 7 + 2x + -2x Combine like terms: -8x + -2x = -10x 17 + -10x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 17 + -10x = 7 + 0 17 + -10x = 7 Add '-17' to each side of the equation. 17 + -17 + -10x = 7 + -17 Combine like terms: 17 + -17 = 0 0 + -10x = 7 + -17 -10x = 7 + -17 Combine like terms: 7 + -17 = -10 -10x = -10 Divide each side by '-10'. x = 1 Simplifying x = 1
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