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Simplifying 4(x + -1) = 6(x + -2) Reorder the terms: 4(-1 + x) = 6(x + -2) (-1 * 4 + x * 4) = 6(x + -2) (-4 + 4x) = 6(x + -2) Reorder the terms: -4 + 4x = 6(-2 + x) -4 + 4x = (-2 * 6 + x * 6) -4 + 4x = (-12 + 6x) Solving -4 + 4x = -12 + 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. -4 + 4x + -6x = -12 + 6x + -6x Combine like terms: 4x + -6x = -2x -4 + -2x = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + -2x = -12 + 0 -4 + -2x = -12 Add '4' to each side of the equation. -4 + 4 + -2x = -12 + 4 Combine like terms: -4 + 4 = 0 0 + -2x = -12 + 4 -2x = -12 + 4 Combine like terms: -12 + 4 = -8 -2x = -8 Divide each side by '-2'. x = 4 Simplifying x = 4
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