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Simplifying -1(-8x + -3) + -1x = 4x + 6(-5 + x) Reorder the terms: -1(-3 + -8x) + -1x = 4x + 6(-5 + x) (-3 * -1 + -8x * -1) + -1x = 4x + 6(-5 + x) (3 + 8x) + -1x = 4x + 6(-5 + x) Combine like terms: 8x + -1x = 7x 3 + 7x = 4x + 6(-5 + x) 3 + 7x = 4x + (-5 * 6 + x * 6) 3 + 7x = 4x + (-30 + 6x) Reorder the terms: 3 + 7x = -30 + 4x + 6x Combine like terms: 4x + 6x = 10x 3 + 7x = -30 + 10x Solving 3 + 7x = -30 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 3 + 7x + -10x = -30 + 10x + -10x Combine like terms: 7x + -10x = -3x 3 + -3x = -30 + 10x + -10x Combine like terms: 10x + -10x = 0 3 + -3x = -30 + 0 3 + -3x = -30 Add '-3' to each side of the equation. 3 + -3 + -3x = -30 + -3 Combine like terms: 3 + -3 = 0 0 + -3x = -30 + -3 -3x = -30 + -3 Combine like terms: -30 + -3 = -33 -3x = -33 Divide each side by '-3'. x = 11 Simplifying x = 11
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