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Simplifying -5(-1x + 3) + 6(-1x) + 2(-4x + -3) + 31 = 0 Reorder the terms: -5(3 + -1x) + 6(-1x) + 2(-4x + -3) + 31 = 0 (3 * -5 + -1x * -5) + 6(-1x) + 2(-4x + -3) + 31 = 0 (-15 + 5x) + 6(-1x) + 2(-4x + -3) + 31 = 0 Remove parenthesis around (-1x) -15 + 5x + 6 * -1x + 2(-4x + -3) + 31 = 0 Multiply 6 * -1 -15 + 5x + -6x + 2(-4x + -3) + 31 = 0 Reorder the terms: -15 + 5x + -6x + 2(-3 + -4x) + 31 = 0 -15 + 5x + -6x + (-3 * 2 + -4x * 2) + 31 = 0 -15 + 5x + -6x + (-6 + -8x) + 31 = 0 Reorder the terms: -15 + -6 + 31 + 5x + -6x + -8x = 0 Combine like terms: -15 + -6 = -21 -21 + 31 + 5x + -6x + -8x = 0 Combine like terms: -21 + 31 = 10 10 + 5x + -6x + -8x = 0 Combine like terms: 5x + -6x = -1x 10 + -1x + -8x = 0 Combine like terms: -1x + -8x = -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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