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Simplifying 4(3 + -2x) = 7(5 + -1x) (3 * 4 + -2x * 4) = 7(5 + -1x) (12 + -8x) = 7(5 + -1x) 12 + -8x = (5 * 7 + -1x * 7) 12 + -8x = (35 + -7x) Solving 12 + -8x = 35 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 12 + -8x + 7x = 35 + -7x + 7x Combine like terms: -8x + 7x = -1x 12 + -1x = 35 + -7x + 7x Combine like terms: -7x + 7x = 0 12 + -1x = 35 + 0 12 + -1x = 35 Add '-12' to each side of the equation. 12 + -12 + -1x = 35 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 35 + -12 -1x = 35 + -12 Combine like terms: 35 + -12 = 23 -1x = 23 Divide each side by '-1'. x = -23 Simplifying x = -23
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