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Simplifying 8(5 + -4x) + 15x + -30 = 15(x + 2) + 4 + -28x (5 * 8 + -4x * 8) + 15x + -30 = 15(x + 2) + 4 + -28x (40 + -32x) + 15x + -30 = 15(x + 2) + 4 + -28x Reorder the terms: 40 + -30 + -32x + 15x = 15(x + 2) + 4 + -28x Combine like terms: 40 + -30 = 10 10 + -32x + 15x = 15(x + 2) + 4 + -28x Combine like terms: -32x + 15x = -17x 10 + -17x = 15(x + 2) + 4 + -28x Reorder the terms: 10 + -17x = 15(2 + x) + 4 + -28x 10 + -17x = (2 * 15 + x * 15) + 4 + -28x 10 + -17x = (30 + 15x) + 4 + -28x Reorder the terms: 10 + -17x = 30 + 4 + 15x + -28x Combine like terms: 30 + 4 = 34 10 + -17x = 34 + 15x + -28x Combine like terms: 15x + -28x = -13x 10 + -17x = 34 + -13x Solving 10 + -17x = 34 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. 10 + -17x + 13x = 34 + -13x + 13x Combine like terms: -17x + 13x = -4x 10 + -4x = 34 + -13x + 13x Combine like terms: -13x + 13x = 0 10 + -4x = 34 + 0 10 + -4x = 34 Add '-10' to each side of the equation. 10 + -10 + -4x = 34 + -10 Combine like terms: 10 + -10 = 0 0 + -4x = 34 + -10 -4x = 34 + -10 Combine like terms: 34 + -10 = 24 -4x = 24 Divide each side by '-4'. x = -6 Simplifying x = -6
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