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Simplifying 4(x + 3) = 2x + 5 + -1(x + 2) Reorder the terms: 4(3 + x) = 2x + 5 + -1(x + 2) (3 * 4 + x * 4) = 2x + 5 + -1(x + 2) (12 + 4x) = 2x + 5 + -1(x + 2) Reorder the terms: 12 + 4x = 2x + 5 + -1(2 + x) 12 + 4x = 2x + 5 + (2 * -1 + x * -1) 12 + 4x = 2x + 5 + (-2 + -1x) Reorder the terms: 12 + 4x = 5 + -2 + 2x + -1x Combine like terms: 5 + -2 = 3 12 + 4x = 3 + 2x + -1x Combine like terms: 2x + -1x = 1x 12 + 4x = 3 + 1x Solving 12 + 4x = 3 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 12 + 4x + -1x = 3 + 1x + -1x Combine like terms: 4x + -1x = 3x 12 + 3x = 3 + 1x + -1x Combine like terms: 1x + -1x = 0 12 + 3x = 3 + 0 12 + 3x = 3 Add '-12' to each side of the equation. 12 + -12 + 3x = 3 + -12 Combine like terms: 12 + -12 = 0 0 + 3x = 3 + -12 3x = 3 + -12 Combine like terms: 3 + -12 = -9 3x = -9 Divide each side by '3'. x = -3 Simplifying x = -3
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