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Simplifying 4 + 6(x + -3) = 4(x + -2) Reorder the terms: 4 + 6(-3 + x) = 4(x + -2) 4 + (-3 * 6 + x * 6) = 4(x + -2) 4 + (-18 + 6x) = 4(x + -2) Combine like terms: 4 + -18 = -14 -14 + 6x = 4(x + -2) Reorder the terms: -14 + 6x = 4(-2 + x) -14 + 6x = (-2 * 4 + x * 4) -14 + 6x = (-8 + 4x) Solving -14 + 6x = -8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -14 + 6x + -4x = -8 + 4x + -4x Combine like terms: 6x + -4x = 2x -14 + 2x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 -14 + 2x = -8 + 0 -14 + 2x = -8 Add '14' to each side of the equation. -14 + 14 + 2x = -8 + 14 Combine like terms: -14 + 14 = 0 0 + 2x = -8 + 14 2x = -8 + 14 Combine like terms: -8 + 14 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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