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Simplifying 1 + -3x + 5 + 2x = -5(1 + -4x) + -4(6x + -2) Reorder the terms: 1 + 5 + -3x + 2x = -5(1 + -4x) + -4(6x + -2) Combine like terms: 1 + 5 = 6 6 + -3x + 2x = -5(1 + -4x) + -4(6x + -2) Combine like terms: -3x + 2x = -1x 6 + -1x = -5(1 + -4x) + -4(6x + -2) 6 + -1x = (1 * -5 + -4x * -5) + -4(6x + -2) 6 + -1x = (-5 + 20x) + -4(6x + -2) Reorder the terms: 6 + -1x = -5 + 20x + -4(-2 + 6x) 6 + -1x = -5 + 20x + (-2 * -4 + 6x * -4) 6 + -1x = -5 + 20x + (8 + -24x) Reorder the terms: 6 + -1x = -5 + 8 + 20x + -24x Combine like terms: -5 + 8 = 3 6 + -1x = 3 + 20x + -24x Combine like terms: 20x + -24x = -4x 6 + -1x = 3 + -4x Solving 6 + -1x = 3 + -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. 6 + -1x + 4x = 3 + -4x + 4x Combine like terms: -1x + 4x = 3x 6 + 3x = 3 + -4x + 4x Combine like terms: -4x + 4x = 0 6 + 3x = 3 + 0 6 + 3x = 3 Add '-6' to each side of the equation. 6 + -6 + 3x = 3 + -6 Combine like terms: 6 + -6 = 0 0 + 3x = 3 + -6 3x = 3 + -6 Combine like terms: 3 + -6 = -3 3x = -3 Divide each side by '3'. x = -1 Simplifying x = -1
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