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Simplifying -1x + 4(7 + -3x) + 3(2x + 4) + -1(4 + -2x) + 5 = 0 -1x + (7 * 4 + -3x * 4) + 3(2x + 4) + -1(4 + -2x) + 5 = 0 -1x + (28 + -12x) + 3(2x + 4) + -1(4 + -2x) + 5 = 0 Reorder the terms: -1x + 28 + -12x + 3(4 + 2x) + -1(4 + -2x) + 5 = 0 -1x + 28 + -12x + (4 * 3 + 2x * 3) + -1(4 + -2x) + 5 = 0 -1x + 28 + -12x + (12 + 6x) + -1(4 + -2x) + 5 = 0 -1x + 28 + -12x + 12 + 6x + (4 * -1 + -2x * -1) + 5 = 0 -1x + 28 + -12x + 12 + 6x + (-4 + 2x) + 5 = 0 Reorder the terms: 28 + 12 + -4 + 5 + -1x + -12x + 6x + 2x = 0 Combine like terms: 28 + 12 = 40 40 + -4 + 5 + -1x + -12x + 6x + 2x = 0 Combine like terms: 40 + -4 = 36 36 + 5 + -1x + -12x + 6x + 2x = 0 Combine like terms: 36 + 5 = 41 41 + -1x + -12x + 6x + 2x = 0 Combine like terms: -1x + -12x = -13x 41 + -13x + 6x + 2x = 0 Combine like terms: -13x + 6x = -7x 41 + -7x + 2x = 0 Combine like terms: -7x + 2x = -5x 41 + -5x = 0 Solving 41 + -5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + -41 + -5x = 0 + -41 Combine like terms: 41 + -41 = 0 0 + -5x = 0 + -41 -5x = 0 + -41 Combine like terms: 0 + -41 = -41 -5x = -41 Divide each side by '-5'. x = 8.2 Simplifying x = 8.2
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