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Simplifying 3 = 4(x + -7) + 2(10 + -1x) Reorder the terms: 3 = 4(-7 + x) + 2(10 + -1x) 3 = (-7 * 4 + x * 4) + 2(10 + -1x) 3 = (-28 + 4x) + 2(10 + -1x) 3 = -28 + 4x + (10 * 2 + -1x * 2) 3 = -28 + 4x + (20 + -2x) Reorder the terms: 3 = -28 + 20 + 4x + -2x Combine like terms: -28 + 20 = -8 3 = -8 + 4x + -2x Combine like terms: 4x + -2x = 2x 3 = -8 + 2x Solving 3 = -8 + 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. 3 + -2x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 3 + -2x = -8 + 0 3 + -2x = -8 Add '-3' to each side of the equation. 3 + -3 + -2x = -8 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = -8 + -3 -2x = -8 + -3 Combine like terms: -8 + -3 = -11 -2x = -11 Divide each side by '-2'. x = 5.5 Simplifying x = 5.5
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