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Simplifying 7x + -2[7(x + 4) + -1(x + -3)] + -2 = 0 Reorder the terms: 7x + -2[7(4 + x) + -1(x + -3)] + -2 = 0 7x + -2[(4 * 7 + x * 7) + -1(x + -3)] + -2 = 0 7x + -2[(28 + 7x) + -1(x + -3)] + -2 = 0 Reorder the terms: 7x + -2[28 + 7x + -1(-3 + x)] + -2 = 0 7x + -2[28 + 7x + (-3 * -1 + x * -1)] + -2 = 0 7x + -2[28 + 7x + (3 + -1x)] + -2 = 0 Reorder the terms: 7x + -2[28 + 3 + 7x + -1x] + -2 = 0 Combine like terms: 28 + 3 = 31 7x + -2[31 + 7x + -1x] + -2 = 0 Combine like terms: 7x + -1x = 6x 7x + -2[31 + 6x] + -2 = 0 7x + [31 * -2 + 6x * -2] + -2 = 0 7x + [-62 + -12x] + -2 = 0 Reorder the terms: -62 + -2 + 7x + -12x = 0 Combine like terms: -62 + -2 = -64 -64 + 7x + -12x = 0 Combine like terms: 7x + -12x = -5x -64 + -5x = 0 Solving -64 + -5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '64' to each side of the equation. -64 + 64 + -5x = 0 + 64 Combine like terms: -64 + 64 = 0 0 + -5x = 0 + 64 -5x = 0 + 64 Combine like terms: 0 + 64 = 64 -5x = 64 Divide each side by '-5'. x = -12.8 Simplifying x = -12.8
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