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Simplifying 3(x + 6) = 3 + -4(4x + 3) Reorder the terms: 3(6 + x) = 3 + -4(4x + 3) (6 * 3 + x * 3) = 3 + -4(4x + 3) (18 + 3x) = 3 + -4(4x + 3) Reorder the terms: 18 + 3x = 3 + -4(3 + 4x) 18 + 3x = 3 + (3 * -4 + 4x * -4) 18 + 3x = 3 + (-12 + -16x) Combine like terms: 3 + -12 = -9 18 + 3x = -9 + -16x Solving 18 + 3x = -9 + -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. 18 + 3x + 16x = -9 + -16x + 16x Combine like terms: 3x + 16x = 19x 18 + 19x = -9 + -16x + 16x Combine like terms: -16x + 16x = 0 18 + 19x = -9 + 0 18 + 19x = -9 Add '-18' to each side of the equation. 18 + -18 + 19x = -9 + -18 Combine like terms: 18 + -18 = 0 0 + 19x = -9 + -18 19x = -9 + -18 Combine like terms: -9 + -18 = -27 19x = -27 Divide each side by '19'. x = -1.421052632 Simplifying x = -1.421052632
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