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Simplifying 3(x + 7) + -1(4x + -3) = 2x Reorder the terms: 3(7 + x) + -1(4x + -3) = 2x (7 * 3 + x * 3) + -1(4x + -3) = 2x (21 + 3x) + -1(4x + -3) = 2x Reorder the terms: 21 + 3x + -1(-3 + 4x) = 2x 21 + 3x + (-3 * -1 + 4x * -1) = 2x 21 + 3x + (3 + -4x) = 2x Reorder the terms: 21 + 3 + 3x + -4x = 2x Combine like terms: 21 + 3 = 24 24 + 3x + -4x = 2x Combine like terms: 3x + -4x = -1x 24 + -1x = 2x Solving 24 + -1x = 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. 24 + -1x + -2x = 2x + -2x Combine like terms: -1x + -2x = -3x 24 + -3x = 2x + -2x Combine like terms: 2x + -2x = 0 24 + -3x = 0 Add '-24' to each side of the equation. 24 + -24 + -3x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -3x = 0 + -24 -3x = 0 + -24 Combine like terms: 0 + -24 = -24 -3x = -24 Divide each side by '-3'. x = 8 Simplifying x = 8
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