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Simplifying 3(2x + -3) + -13 = 2(x + -1) Reorder the terms: 3(-3 + 2x) + -13 = 2(x + -1) (-3 * 3 + 2x * 3) + -13 = 2(x + -1) (-9 + 6x) + -13 = 2(x + -1) Reorder the terms: -9 + -13 + 6x = 2(x + -1) Combine like terms: -9 + -13 = -22 -22 + 6x = 2(x + -1) Reorder the terms: -22 + 6x = 2(-1 + x) -22 + 6x = (-1 * 2 + x * 2) -22 + 6x = (-2 + 2x) Solving -22 + 6x = -2 + 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. -22 + 6x + -2x = -2 + 2x + -2x Combine like terms: 6x + -2x = 4x -22 + 4x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 -22 + 4x = -2 + 0 -22 + 4x = -2 Add '22' to each side of the equation. -22 + 22 + 4x = -2 + 22 Combine like terms: -22 + 22 = 0 0 + 4x = -2 + 22 4x = -2 + 22 Combine like terms: -2 + 22 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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