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Simplifying 3x + -4(x + -2) = 4x + (5 + -3x) Reorder the terms: 3x + -4(-2 + x) = 4x + (5 + -3x) 3x + (-2 * -4 + x * -4) = 4x + (5 + -3x) 3x + (8 + -4x) = 4x + (5 + -3x) Reorder the terms: 8 + 3x + -4x = 4x + (5 + -3x) Combine like terms: 3x + -4x = -1x 8 + -1x = 4x + (5 + -3x) Remove parenthesis around (5 + -3x) 8 + -1x = 4x + 5 + -3x Reorder the terms: 8 + -1x = 5 + 4x + -3x Combine like terms: 4x + -3x = 1x 8 + -1x = 5 + 1x Solving 8 + -1x = 5 + 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. 8 + -1x + -1x = 5 + 1x + -1x Combine like terms: -1x + -1x = -2x 8 + -2x = 5 + 1x + -1x Combine like terms: 1x + -1x = 0 8 + -2x = 5 + 0 8 + -2x = 5 Add '-8' to each side of the equation. 8 + -8 + -2x = 5 + -8 Combine like terms: 8 + -8 = 0 0 + -2x = 5 + -8 -2x = 5 + -8 Combine like terms: 5 + -8 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5
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