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Simplifying 5(4x + -3) + -3(3x + -11) = 5(2x + 1) + -3 Reorder the terms: 5(-3 + 4x) + -3(3x + -11) = 5(2x + 1) + -3 (-3 * 5 + 4x * 5) + -3(3x + -11) = 5(2x + 1) + -3 (-15 + 20x) + -3(3x + -11) = 5(2x + 1) + -3 Reorder the terms: -15 + 20x + -3(-11 + 3x) = 5(2x + 1) + -3 -15 + 20x + (-11 * -3 + 3x * -3) = 5(2x + 1) + -3 -15 + 20x + (33 + -9x) = 5(2x + 1) + -3 Reorder the terms: -15 + 33 + 20x + -9x = 5(2x + 1) + -3 Combine like terms: -15 + 33 = 18 18 + 20x + -9x = 5(2x + 1) + -3 Combine like terms: 20x + -9x = 11x 18 + 11x = 5(2x + 1) + -3 Reorder the terms: 18 + 11x = 5(1 + 2x) + -3 18 + 11x = (1 * 5 + 2x * 5) + -3 18 + 11x = (5 + 10x) + -3 Reorder the terms: 18 + 11x = 5 + -3 + 10x Combine like terms: 5 + -3 = 2 18 + 11x = 2 + 10x Solving 18 + 11x = 2 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 18 + 11x + -10x = 2 + 10x + -10x Combine like terms: 11x + -10x = 1x 18 + 1x = 2 + 10x + -10x Combine like terms: 10x + -10x = 0 18 + 1x = 2 + 0 18 + 1x = 2 Add '-18' to each side of the equation. 18 + -18 + 1x = 2 + -18 Combine like terms: 18 + -18 = 0 0 + 1x = 2 + -18 1x = 2 + -18 Combine like terms: 2 + -18 = -16 1x = -16 Divide each side by '1'. x = -16 Simplifying x = -16
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