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Simplifying 5(6x + -5) + -3(3x + -12) = 20x + 4 Reorder the terms: 5(-5 + 6x) + -3(3x + -12) = 20x + 4 (-5 * 5 + 6x * 5) + -3(3x + -12) = 20x + 4 (-25 + 30x) + -3(3x + -12) = 20x + 4 Reorder the terms: -25 + 30x + -3(-12 + 3x) = 20x + 4 -25 + 30x + (-12 * -3 + 3x * -3) = 20x + 4 -25 + 30x + (36 + -9x) = 20x + 4 Reorder the terms: -25 + 36 + 30x + -9x = 20x + 4 Combine like terms: -25 + 36 = 11 11 + 30x + -9x = 20x + 4 Combine like terms: 30x + -9x = 21x 11 + 21x = 20x + 4 Reorder the terms: 11 + 21x = 4 + 20x Solving 11 + 21x = 4 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 11 + 21x + -20x = 4 + 20x + -20x Combine like terms: 21x + -20x = 1x 11 + 1x = 4 + 20x + -20x Combine like terms: 20x + -20x = 0 11 + 1x = 4 + 0 11 + 1x = 4 Add '-11' to each side of the equation. 11 + -11 + 1x = 4 + -11 Combine like terms: 11 + -11 = 0 0 + 1x = 4 + -11 1x = 4 + -11 Combine like terms: 4 + -11 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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