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