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Simplifying 2(x + -1) = 4x + -5(x + 3) Reorder the terms: 2(-1 + x) = 4x + -5(x + 3) (-1 * 2 + x * 2) = 4x + -5(x + 3) (-2 + 2x) = 4x + -5(x + 3) Reorder the terms: -2 + 2x = 4x + -5(3 + x) -2 + 2x = 4x + (3 * -5 + x * -5) -2 + 2x = 4x + (-15 + -5x) Reorder the terms: -2 + 2x = -15 + 4x + -5x Combine like terms: 4x + -5x = -1x -2 + 2x = -15 + -1x Solving -2 + 2x = -15 + -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. -2 + 2x + x = -15 + -1x + x Combine like terms: 2x + x = 3x -2 + 3x = -15 + -1x + x Combine like terms: -1x + x = 0 -2 + 3x = -15 + 0 -2 + 3x = -15 Add '2' to each side of the equation. -2 + 2 + 3x = -15 + 2 Combine like terms: -2 + 2 = 0 0 + 3x = -15 + 2 3x = -15 + 2 Combine like terms: -15 + 2 = -13 3x = -13 Divide each side by '3'. x = -4.333333333 Simplifying x = -4.333333333
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