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Simplifying 2(x + 6) = 9 + -4(4x + 3) Reorder the terms: 2(6 + x) = 9 + -4(4x + 3) (6 * 2 + x * 2) = 9 + -4(4x + 3) (12 + 2x) = 9 + -4(4x + 3) Reorder the terms: 12 + 2x = 9 + -4(3 + 4x) 12 + 2x = 9 + (3 * -4 + 4x * -4) 12 + 2x = 9 + (-12 + -16x) Combine like terms: 9 + -12 = -3 12 + 2x = -3 + -16x Solving 12 + 2x = -3 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 12 + 2x + 16x = -3 + -16x + 16x Combine like terms: 2x + 16x = 18x 12 + 18x = -3 + -16x + 16x Combine like terms: -16x + 16x = 0 12 + 18x = -3 + 0 12 + 18x = -3 Add '-12' to each side of the equation. 12 + -12 + 18x = -3 + -12 Combine like terms: 12 + -12 = 0 0 + 18x = -3 + -12 18x = -3 + -12 Combine like terms: -3 + -12 = -15 18x = -15 Divide each side by '18'. x = -0.8333333333 Simplifying x = -0.8333333333
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