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Simplifying 2(x + -4) + 12 = x + -4(6 + 2x) + 9 Reorder the terms: 2(-4 + x) + 12 = x + -4(6 + 2x) + 9 (-4 * 2 + x * 2) + 12 = x + -4(6 + 2x) + 9 (-8 + 2x) + 12 = x + -4(6 + 2x) + 9 Reorder the terms: -8 + 12 + 2x = x + -4(6 + 2x) + 9 Combine like terms: -8 + 12 = 4 4 + 2x = x + -4(6 + 2x) + 9 4 + 2x = x + (6 * -4 + 2x * -4) + 9 4 + 2x = x + (-24 + -8x) + 9 Reorder the terms: 4 + 2x = -24 + 9 + x + -8x Combine like terms: -24 + 9 = -15 4 + 2x = -15 + x + -8x Combine like terms: x + -8x = -7x 4 + 2x = -15 + -7x Solving 4 + 2x = -15 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 4 + 2x + 7x = -15 + -7x + 7x Combine like terms: 2x + 7x = 9x 4 + 9x = -15 + -7x + 7x Combine like terms: -7x + 7x = 0 4 + 9x = -15 + 0 4 + 9x = -15 Add '-4' to each side of the equation. 4 + -4 + 9x = -15 + -4 Combine like terms: 4 + -4 = 0 0 + 9x = -15 + -4 9x = -15 + -4 Combine like terms: -15 + -4 = -19 9x = -19 Divide each side by '9'. x = -2.111111111 Simplifying x = -2.111111111
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