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Simplifying 6x + -4 = 3(x + -6) + -1(x + -2) Reorder the terms: -4 + 6x = 3(x + -6) + -1(x + -2) Reorder the terms: -4 + 6x = 3(-6 + x) + -1(x + -2) -4 + 6x = (-6 * 3 + x * 3) + -1(x + -2) -4 + 6x = (-18 + 3x) + -1(x + -2) Reorder the terms: -4 + 6x = -18 + 3x + -1(-2 + x) -4 + 6x = -18 + 3x + (-2 * -1 + x * -1) -4 + 6x = -18 + 3x + (2 + -1x) Reorder the terms: -4 + 6x = -18 + 2 + 3x + -1x Combine like terms: -18 + 2 = -16 -4 + 6x = -16 + 3x + -1x Combine like terms: 3x + -1x = 2x -4 + 6x = -16 + 2x Solving -4 + 6x = -16 + 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. -4 + 6x + -2x = -16 + 2x + -2x Combine like terms: 6x + -2x = 4x -4 + 4x = -16 + 2x + -2x Combine like terms: 2x + -2x = 0 -4 + 4x = -16 + 0 -4 + 4x = -16 Add '4' to each side of the equation. -4 + 4 + 4x = -16 + 4 Combine like terms: -4 + 4 = 0 0 + 4x = -16 + 4 4x = -16 + 4 Combine like terms: -16 + 4 = -12 4x = -12 Divide each side by '4'. x = -3 Simplifying x = -3
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