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Simplifying 4(5x + -2) + -3(5x + -9) = 2(2x + 2) + -3 Reorder the terms: 4(-2 + 5x) + -3(5x + -9) = 2(2x + 2) + -3 (-2 * 4 + 5x * 4) + -3(5x + -9) = 2(2x + 2) + -3 (-8 + 20x) + -3(5x + -9) = 2(2x + 2) + -3 Reorder the terms: -8 + 20x + -3(-9 + 5x) = 2(2x + 2) + -3 -8 + 20x + (-9 * -3 + 5x * -3) = 2(2x + 2) + -3 -8 + 20x + (27 + -15x) = 2(2x + 2) + -3 Reorder the terms: -8 + 27 + 20x + -15x = 2(2x + 2) + -3 Combine like terms: -8 + 27 = 19 19 + 20x + -15x = 2(2x + 2) + -3 Combine like terms: 20x + -15x = 5x 19 + 5x = 2(2x + 2) + -3 Reorder the terms: 19 + 5x = 2(2 + 2x) + -3 19 + 5x = (2 * 2 + 2x * 2) + -3 19 + 5x = (4 + 4x) + -3 Reorder the terms: 19 + 5x = 4 + -3 + 4x Combine like terms: 4 + -3 = 1 19 + 5x = 1 + 4x Solving 19 + 5x = 1 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 19 + 5x + -4x = 1 + 4x + -4x Combine like terms: 5x + -4x = 1x 19 + 1x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 19 + 1x = 1 + 0 19 + 1x = 1 Add '-19' to each side of the equation. 19 + -19 + 1x = 1 + -19 Combine like terms: 19 + -19 = 0 0 + 1x = 1 + -19 1x = 1 + -19 Combine like terms: 1 + -19 = -18 1x = -18 Divide each side by '1'. x = -18 Simplifying x = -18
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