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Simplifying 5(3x + 4) + 3(5x + 6) + -28 = (4x + 9) + -47 Reorder the terms: 5(4 + 3x) + 3(5x + 6) + -28 = (4x + 9) + -47 (4 * 5 + 3x * 5) + 3(5x + 6) + -28 = (4x + 9) + -47 (20 + 15x) + 3(5x + 6) + -28 = (4x + 9) + -47 Reorder the terms: 20 + 15x + 3(6 + 5x) + -28 = (4x + 9) + -47 20 + 15x + (6 * 3 + 5x * 3) + -28 = (4x + 9) + -47 20 + 15x + (18 + 15x) + -28 = (4x + 9) + -47 Reorder the terms: 20 + 18 + -28 + 15x + 15x = (4x + 9) + -47 Combine like terms: 20 + 18 = 38 38 + -28 + 15x + 15x = (4x + 9) + -47 Combine like terms: 38 + -28 = 10 10 + 15x + 15x = (4x + 9) + -47 Combine like terms: 15x + 15x = 30x 10 + 30x = (4x + 9) + -47 Reorder the terms: 10 + 30x = (9 + 4x) + -47 Remove parenthesis around (9 + 4x) 10 + 30x = 9 + 4x + -47 Reorder the terms: 10 + 30x = 9 + -47 + 4x Combine like terms: 9 + -47 = -38 10 + 30x = -38 + 4x Solving 10 + 30x = -38 + 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. 10 + 30x + -4x = -38 + 4x + -4x Combine like terms: 30x + -4x = 26x 10 + 26x = -38 + 4x + -4x Combine like terms: 4x + -4x = 0 10 + 26x = -38 + 0 10 + 26x = -38 Add '-10' to each side of the equation. 10 + -10 + 26x = -38 + -10 Combine like terms: 10 + -10 = 0 0 + 26x = -38 + -10 26x = -38 + -10 Combine like terms: -38 + -10 = -48 26x = -48 Divide each side by '26'. x = -1.846153846 Simplifying x = -1.846153846
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