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Simplifying -2x + 1 + -3(x + -4) = (3 + -1x) + 4 Reorder the terms: -2x + 1 + -3(-4 + x) = (3 + -1x) + 4 -2x + 1 + (-4 * -3 + x * -3) = (3 + -1x) + 4 -2x + 1 + (12 + -3x) = (3 + -1x) + 4 Reorder the terms: 1 + 12 + -2x + -3x = (3 + -1x) + 4 Combine like terms: 1 + 12 = 13 13 + -2x + -3x = (3 + -1x) + 4 Combine like terms: -2x + -3x = -5x 13 + -5x = (3 + -1x) + 4 Remove parenthesis around (3 + -1x) 13 + -5x = 3 + -1x + 4 Reorder the terms: 13 + -5x = 3 + 4 + -1x Combine like terms: 3 + 4 = 7 13 + -5x = 7 + -1x Solving 13 + -5x = 7 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 13 + -5x + x = 7 + -1x + x Combine like terms: -5x + x = -4x 13 + -4x = 7 + -1x + x Combine like terms: -1x + x = 0 13 + -4x = 7 + 0 13 + -4x = 7 Add '-13' to each side of the equation. 13 + -13 + -4x = 7 + -13 Combine like terms: 13 + -13 = 0 0 + -4x = 7 + -13 -4x = 7 + -13 Combine like terms: 7 + -13 = -6 -4x = -6 Divide each side by '-4'. x = 1.5 Simplifying x = 1.5
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