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