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Simplifying -1(5 + -3x) + -6(2x + -4) = x + 1 (5 * -1 + -3x * -1) + -6(2x + -4) = x + 1 (-5 + 3x) + -6(2x + -4) = x + 1 Reorder the terms: -5 + 3x + -6(-4 + 2x) = x + 1 -5 + 3x + (-4 * -6 + 2x * -6) = x + 1 -5 + 3x + (24 + -12x) = x + 1 Reorder the terms: -5 + 24 + 3x + -12x = x + 1 Combine like terms: -5 + 24 = 19 19 + 3x + -12x = x + 1 Combine like terms: 3x + -12x = -9x 19 + -9x = x + 1 Reorder the terms: 19 + -9x = 1 + x Solving 19 + -9x = 1 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 19 + -9x + -1x = 1 + x + -1x Combine like terms: -9x + -1x = -10x 19 + -10x = 1 + x + -1x Combine like terms: x + -1x = 0 19 + -10x = 1 + 0 19 + -10x = 1 Add '-19' to each side of the equation. 19 + -19 + -10x = 1 + -19 Combine like terms: 19 + -19 = 0 0 + -10x = 1 + -19 -10x = 1 + -19 Combine like terms: 1 + -19 = -18 -10x = -18 Divide each side by '-10'. x = 1.8 Simplifying x = 1.8
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