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Simplifying 15x + 4 = 8(10 + 3x) + -2 Reorder the terms: 4 + 15x = 8(10 + 3x) + -2 4 + 15x = (10 * 8 + 3x * 8) + -2 4 + 15x = (80 + 24x) + -2 Reorder the terms: 4 + 15x = 80 + -2 + 24x Combine like terms: 80 + -2 = 78 4 + 15x = 78 + 24x Solving 4 + 15x = 78 + 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. 4 + 15x + -24x = 78 + 24x + -24x Combine like terms: 15x + -24x = -9x 4 + -9x = 78 + 24x + -24x Combine like terms: 24x + -24x = 0 4 + -9x = 78 + 0 4 + -9x = 78 Add '-4' to each side of the equation. 4 + -4 + -9x = 78 + -4 Combine like terms: 4 + -4 = 0 0 + -9x = 78 + -4 -9x = 78 + -4 Combine like terms: 78 + -4 = 74 -9x = 74 Divide each side by '-9'. x = -8.222222222 Simplifying x = -8.222222222
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