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Simplifying 3(x + -1) + -5x = 12 + -1(6x + -7) Reorder the terms: 3(-1 + x) + -5x = 12 + -1(6x + -7) (-1 * 3 + x * 3) + -5x = 12 + -1(6x + -7) (-3 + 3x) + -5x = 12 + -1(6x + -7) Combine like terms: 3x + -5x = -2x -3 + -2x = 12 + -1(6x + -7) Reorder the terms: -3 + -2x = 12 + -1(-7 + 6x) -3 + -2x = 12 + (-7 * -1 + 6x * -1) -3 + -2x = 12 + (7 + -6x) Combine like terms: 12 + 7 = 19 -3 + -2x = 19 + -6x Solving -3 + -2x = 19 + -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. -3 + -2x + 6x = 19 + -6x + 6x Combine like terms: -2x + 6x = 4x -3 + 4x = 19 + -6x + 6x Combine like terms: -6x + 6x = 0 -3 + 4x = 19 + 0 -3 + 4x = 19 Add '3' to each side of the equation. -3 + 3 + 4x = 19 + 3 Combine like terms: -3 + 3 = 0 0 + 4x = 19 + 3 4x = 19 + 3 Combine like terms: 19 + 3 = 22 4x = 22 Divide each side by '4'. x = 5.5 Simplifying x = 5.5
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