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Simplifying 6(x + -5) + -5x = 4 + -2(x + -1) Reorder the terms: 6(-5 + x) + -5x = 4 + -2(x + -1) (-5 * 6 + x * 6) + -5x = 4 + -2(x + -1) (-30 + 6x) + -5x = 4 + -2(x + -1) Combine like terms: 6x + -5x = 1x -30 + 1x = 4 + -2(x + -1) Reorder the terms: -30 + 1x = 4 + -2(-1 + x) -30 + 1x = 4 + (-1 * -2 + x * -2) -30 + 1x = 4 + (2 + -2x) Combine like terms: 4 + 2 = 6 -30 + 1x = 6 + -2x Solving -30 + 1x = 6 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -30 + 1x + 2x = 6 + -2x + 2x Combine like terms: 1x + 2x = 3x -30 + 3x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 -30 + 3x = 6 + 0 -30 + 3x = 6 Add '30' to each side of the equation. -30 + 30 + 3x = 6 + 30 Combine like terms: -30 + 30 = 0 0 + 3x = 6 + 30 3x = 6 + 30 Combine like terms: 6 + 30 = 36 3x = 36 Divide each side by '3'. x = 12 Simplifying x = 12
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