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Simplifying 4x + -2 = 6(x + -3) Reorder the terms: -2 + 4x = 6(x + -3) Reorder the terms: -2 + 4x = 6(-3 + x) -2 + 4x = (-3 * 6 + x * 6) -2 + 4x = (-18 + 6x) Solving -2 + 4x = -18 + 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. -2 + 4x + -6x = -18 + 6x + -6x Combine like terms: 4x + -6x = -2x -2 + -2x = -18 + 6x + -6x Combine like terms: 6x + -6x = 0 -2 + -2x = -18 + 0 -2 + -2x = -18 Add '2' to each side of the equation. -2 + 2 + -2x = -18 + 2 Combine like terms: -2 + 2 = 0 0 + -2x = -18 + 2 -2x = -18 + 2 Combine like terms: -18 + 2 = -16 -2x = -16 Divide each side by '-2'. x = 8 Simplifying x = 8
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