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Simplifying (x + -4x + 7) + -1(-2x + 8x + -3) = 0 Reorder the terms: (7 + x + -4x) + -1(-2x + 8x + -3) = 0 Combine like terms: x + -4x = -3x (7 + -3x) + -1(-2x + 8x + -3) = 0 Remove parenthesis around (7 + -3x) 7 + -3x + -1(-2x + 8x + -3) = 0 Reorder the terms: 7 + -3x + -1(-3 + -2x + 8x) = 0 Combine like terms: -2x + 8x = 6x 7 + -3x + -1(-3 + 6x) = 0 7 + -3x + (-3 * -1 + 6x * -1) = 0 7 + -3x + (3 + -6x) = 0 Reorder the terms: 7 + 3 + -3x + -6x = 0 Combine like terms: 7 + 3 = 10 10 + -3x + -6x = 0 Combine like terms: -3x + -6x = -9x 10 + -9x = 0 Solving 10 + -9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -9x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -9x = 0 + -10 -9x = 0 + -10 Combine like terms: 0 + -10 = -10 -9x = -10 Divide each side by '-9'. x = 1.111111111 Simplifying x = 1.111111111
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