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Simplifying 8x + 6(1x + 5) = 15x + -6 Reorder the terms: 8x + 6(5 + 1x) = 15x + -6 8x + (5 * 6 + 1x * 6) = 15x + -6 8x + (30 + 6x) = 15x + -6 Reorder the terms: 30 + 8x + 6x = 15x + -6 Combine like terms: 8x + 6x = 14x 30 + 14x = 15x + -6 Reorder the terms: 30 + 14x = -6 + 15x Solving 30 + 14x = -6 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 30 + 14x + -15x = -6 + 15x + -15x Combine like terms: 14x + -15x = -1x 30 + -1x = -6 + 15x + -15x Combine like terms: 15x + -15x = 0 30 + -1x = -6 + 0 30 + -1x = -6 Add '-30' to each side of the equation. 30 + -30 + -1x = -6 + -30 Combine like terms: 30 + -30 = 0 0 + -1x = -6 + -30 -1x = -6 + -30 Combine like terms: -6 + -30 = -36 -1x = -36 Divide each side by '-1'. x = 36 Simplifying x = 36
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