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Simplifying 5(4x + 3) + -2(6 + -3x) = 8(4 + 3x) + -33 Reorder the terms: 5(3 + 4x) + -2(6 + -3x) = 8(4 + 3x) + -33 (3 * 5 + 4x * 5) + -2(6 + -3x) = 8(4 + 3x) + -33 (15 + 20x) + -2(6 + -3x) = 8(4 + 3x) + -33 15 + 20x + (6 * -2 + -3x * -2) = 8(4 + 3x) + -33 15 + 20x + (-12 + 6x) = 8(4 + 3x) + -33 Reorder the terms: 15 + -12 + 20x + 6x = 8(4 + 3x) + -33 Combine like terms: 15 + -12 = 3 3 + 20x + 6x = 8(4 + 3x) + -33 Combine like terms: 20x + 6x = 26x 3 + 26x = 8(4 + 3x) + -33 3 + 26x = (4 * 8 + 3x * 8) + -33 3 + 26x = (32 + 24x) + -33 Reorder the terms: 3 + 26x = 32 + -33 + 24x Combine like terms: 32 + -33 = -1 3 + 26x = -1 + 24x Solving 3 + 26x = -1 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 3 + 26x + -24x = -1 + 24x + -24x Combine like terms: 26x + -24x = 2x 3 + 2x = -1 + 24x + -24x Combine like terms: 24x + -24x = 0 3 + 2x = -1 + 0 3 + 2x = -1 Add '-3' to each side of the equation. 3 + -3 + 2x = -1 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = -1 + -3 2x = -1 + -3 Combine like terms: -1 + -3 = -4 2x = -4 Divide each side by '2'. x = -2 Simplifying x = -2
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