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Simplifying 4 + -1(x + 2) + 3x = 3 + -2(x + 4) Reorder the terms: 4 + -1(2 + x) + 3x = 3 + -2(x + 4) 4 + (2 * -1 + x * -1) + 3x = 3 + -2(x + 4) 4 + (-2 + -1x) + 3x = 3 + -2(x + 4) Combine like terms: 4 + -2 = 2 2 + -1x + 3x = 3 + -2(x + 4) Combine like terms: -1x + 3x = 2x 2 + 2x = 3 + -2(x + 4) Reorder the terms: 2 + 2x = 3 + -2(4 + x) 2 + 2x = 3 + (4 * -2 + x * -2) 2 + 2x = 3 + (-8 + -2x) Combine like terms: 3 + -8 = -5 2 + 2x = -5 + -2x Solving 2 + 2x = -5 + -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. 2 + 2x + 2x = -5 + -2x + 2x Combine like terms: 2x + 2x = 4x 2 + 4x = -5 + -2x + 2x Combine like terms: -2x + 2x = 0 2 + 4x = -5 + 0 2 + 4x = -5 Add '-2' to each side of the equation. 2 + -2 + 4x = -5 + -2 Combine like terms: 2 + -2 = 0 0 + 4x = -5 + -2 4x = -5 + -2 Combine like terms: -5 + -2 = -7 4x = -7 Divide each side by '4'. x = -1.75 Simplifying x = -1.75
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