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Simplifying 3x + -4(5x + -6) = 40 + -3(6x + 4) Reorder the terms: 3x + -4(-6 + 5x) = 40 + -3(6x + 4) 3x + (-6 * -4 + 5x * -4) = 40 + -3(6x + 4) 3x + (24 + -20x) = 40 + -3(6x + 4) Reorder the terms: 24 + 3x + -20x = 40 + -3(6x + 4) Combine like terms: 3x + -20x = -17x 24 + -17x = 40 + -3(6x + 4) Reorder the terms: 24 + -17x = 40 + -3(4 + 6x) 24 + -17x = 40 + (4 * -3 + 6x * -3) 24 + -17x = 40 + (-12 + -18x) Combine like terms: 40 + -12 = 28 24 + -17x = 28 + -18x Solving 24 + -17x = 28 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 24 + -17x + 18x = 28 + -18x + 18x Combine like terms: -17x + 18x = 1x 24 + 1x = 28 + -18x + 18x Combine like terms: -18x + 18x = 0 24 + 1x = 28 + 0 24 + 1x = 28 Add '-24' to each side of the equation. 24 + -24 + 1x = 28 + -24 Combine like terms: 24 + -24 = 0 0 + 1x = 28 + -24 1x = 28 + -24 Combine like terms: 28 + -24 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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