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Simplifying 3(2x) + 4(6) + -6x = -2(2x + 2) + 4 Remove parenthesis around (2x) 3 * 2x + 4(6) + -6x = -2(2x + 2) + 4 Multiply 3 * 2 6x + 4(6) + -6x = -2(2x + 2) + 4 Multiply 4 * 6 6x + 24 + -6x = -2(2x + 2) + 4 Reorder the terms: 24 + 6x + -6x = -2(2x + 2) + 4 Combine like terms: 6x + -6x = 0 24 + 0 = -2(2x + 2) + 4 24 = -2(2x + 2) + 4 Reorder the terms: 24 = -2(2 + 2x) + 4 24 = (2 * -2 + 2x * -2) + 4 24 = (-4 + -4x) + 4 Reorder the terms: 24 = -4 + 4 + -4x Combine like terms: -4 + 4 = 0 24 = 0 + -4x 24 = -4x Solving 24 = -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. 24 + 4x = -4x + 4x Combine like terms: -4x + 4x = 0 24 + 4x = 0 Add '-24' to each side of the equation. 24 + -24 + 4x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 4x = 0 + -24 4x = 0 + -24 Combine like terms: 0 + -24 = -24 4x = -24 Divide each side by '4'. x = -6 Simplifying x = -6
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