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Simplifying -2x + 1 + -3(x + -4) = 4(3 + -1x) + 4 Reorder the terms: -2x + 1 + -3(-4 + x) = 4(3 + -1x) + 4 -2x + 1 + (-4 * -3 + x * -3) = 4(3 + -1x) + 4 -2x + 1 + (12 + -3x) = 4(3 + -1x) + 4 Reorder the terms: 1 + 12 + -2x + -3x = 4(3 + -1x) + 4 Combine like terms: 1 + 12 = 13 13 + -2x + -3x = 4(3 + -1x) + 4 Combine like terms: -2x + -3x = -5x 13 + -5x = 4(3 + -1x) + 4 13 + -5x = (3 * 4 + -1x * 4) + 4 13 + -5x = (12 + -4x) + 4 Reorder the terms: 13 + -5x = 12 + 4 + -4x Combine like terms: 12 + 4 = 16 13 + -5x = 16 + -4x Solving 13 + -5x = 16 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 13 + -5x + 4x = 16 + -4x + 4x Combine like terms: -5x + 4x = -1x 13 + -1x = 16 + -4x + 4x Combine like terms: -4x + 4x = 0 13 + -1x = 16 + 0 13 + -1x = 16 Add '-13' to each side of the equation. 13 + -13 + -1x = 16 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = 16 + -13 -1x = 16 + -13 Combine like terms: 16 + -13 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3
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