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Simplifying 2(x + 9) = 4(3x + -4) + 5 Reorder the terms: 2(9 + x) = 4(3x + -4) + 5 (9 * 2 + x * 2) = 4(3x + -4) + 5 (18 + 2x) = 4(3x + -4) + 5 Reorder the terms: 18 + 2x = 4(-4 + 3x) + 5 18 + 2x = (-4 * 4 + 3x * 4) + 5 18 + 2x = (-16 + 12x) + 5 Reorder the terms: 18 + 2x = -16 + 5 + 12x Combine like terms: -16 + 5 = -11 18 + 2x = -11 + 12x Solving 18 + 2x = -11 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 18 + 2x + -12x = -11 + 12x + -12x Combine like terms: 2x + -12x = -10x 18 + -10x = -11 + 12x + -12x Combine like terms: 12x + -12x = 0 18 + -10x = -11 + 0 18 + -10x = -11 Add '-18' to each side of the equation. 18 + -18 + -10x = -11 + -18 Combine like terms: 18 + -18 = 0 0 + -10x = -11 + -18 -10x = -11 + -18 Combine like terms: -11 + -18 = -29 -10x = -29 Divide each side by '-10'. x = 2.9 Simplifying x = 2.9
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