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Simplifying 5(x + -6) + -2x = 3 + -1(x + 1) Reorder the terms: 5(-6 + x) + -2x = 3 + -1(x + 1) (-6 * 5 + x * 5) + -2x = 3 + -1(x + 1) (-30 + 5x) + -2x = 3 + -1(x + 1) Combine like terms: 5x + -2x = 3x -30 + 3x = 3 + -1(x + 1) Reorder the terms: -30 + 3x = 3 + -1(1 + x) -30 + 3x = 3 + (1 * -1 + x * -1) -30 + 3x = 3 + (-1 + -1x) Combine like terms: 3 + -1 = 2 -30 + 3x = 2 + -1x Solving -30 + 3x = 2 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -30 + 3x + x = 2 + -1x + x Combine like terms: 3x + x = 4x -30 + 4x = 2 + -1x + x Combine like terms: -1x + x = 0 -30 + 4x = 2 + 0 -30 + 4x = 2 Add '30' to each side of the equation. -30 + 30 + 4x = 2 + 30 Combine like terms: -30 + 30 = 0 0 + 4x = 2 + 30 4x = 2 + 30 Combine like terms: 2 + 30 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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