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Simplifying -15 + 5x = 8(4x + 7) Reorder the terms: -15 + 5x = 8(7 + 4x) -15 + 5x = (7 * 8 + 4x * 8) -15 + 5x = (56 + 32x) Solving -15 + 5x = 56 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. -15 + 5x + -32x = 56 + 32x + -32x Combine like terms: 5x + -32x = -27x -15 + -27x = 56 + 32x + -32x Combine like terms: 32x + -32x = 0 -15 + -27x = 56 + 0 -15 + -27x = 56 Add '15' to each side of the equation. -15 + 15 + -27x = 56 + 15 Combine like terms: -15 + 15 = 0 0 + -27x = 56 + 15 -27x = 56 + 15 Combine like terms: 56 + 15 = 71 -27x = 71 Divide each side by '-27'. x = -2.62962963 Simplifying x = -2.62962963
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