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Simplifying 6(x + -1) = 5(2x + 3) + -5 Reorder the terms: 6(-1 + x) = 5(2x + 3) + -5 (-1 * 6 + x * 6) = 5(2x + 3) + -5 (-6 + 6x) = 5(2x + 3) + -5 Reorder the terms: -6 + 6x = 5(3 + 2x) + -5 -6 + 6x = (3 * 5 + 2x * 5) + -5 -6 + 6x = (15 + 10x) + -5 Reorder the terms: -6 + 6x = 15 + -5 + 10x Combine like terms: 15 + -5 = 10 -6 + 6x = 10 + 10x Solving -6 + 6x = 10 + 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. -6 + 6x + -10x = 10 + 10x + -10x Combine like terms: 6x + -10x = -4x -6 + -4x = 10 + 10x + -10x Combine like terms: 10x + -10x = 0 -6 + -4x = 10 + 0 -6 + -4x = 10 Add '6' to each side of the equation. -6 + 6 + -4x = 10 + 6 Combine like terms: -6 + 6 = 0 0 + -4x = 10 + 6 -4x = 10 + 6 Combine like terms: 10 + 6 = 16 -4x = 16 Divide each side by '-4'. x = -4 Simplifying x = -4
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