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Simplifying 4(3 + -1x) + 1 = 2x + -2 + -3x (3 * 4 + -1x * 4) + 1 = 2x + -2 + -3x (12 + -4x) + 1 = 2x + -2 + -3x Reorder the terms: 12 + 1 + -4x = 2x + -2 + -3x Combine like terms: 12 + 1 = 13 13 + -4x = 2x + -2 + -3x Reorder the terms: 13 + -4x = -2 + 2x + -3x Combine like terms: 2x + -3x = -1x 13 + -4x = -2 + -1x Solving 13 + -4x = -2 + -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 + -4x + x = -2 + -1x + x Combine like terms: -4x + x = -3x 13 + -3x = -2 + -1x + x Combine like terms: -1x + x = 0 13 + -3x = -2 + 0 13 + -3x = -2 Add '-13' to each side of the equation. 13 + -13 + -3x = -2 + -13 Combine like terms: 13 + -13 = 0 0 + -3x = -2 + -13 -3x = -2 + -13 Combine like terms: -2 + -13 = -15 -3x = -15 Divide each side by '-3'. x = 5 Simplifying x = 5
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