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Simplifying 4(3 + -2x) = 7(x + 4) (3 * 4 + -2x * 4) = 7(x + 4) (12 + -8x) = 7(x + 4) Reorder the terms: 12 + -8x = 7(4 + x) 12 + -8x = (4 * 7 + x * 7) 12 + -8x = (28 + 7x) Solving 12 + -8x = 28 + 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 = 28 + 7x + -7x Combine like terms: -8x + -7x = -15x 12 + -15x = 28 + 7x + -7x Combine like terms: 7x + -7x = 0 12 + -15x = 28 + 0 12 + -15x = 28 Add '-12' to each side of the equation. 12 + -12 + -15x = 28 + -12 Combine like terms: 12 + -12 = 0 0 + -15x = 28 + -12 -15x = 28 + -12 Combine like terms: 28 + -12 = 16 -15x = 16 Divide each side by '-15'. x = -1.066666667 Simplifying x = -1.066666667
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