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Simplifying 6x + -1(4x + 8) = 9x + -15 Reorder the terms: 6x + -1(8 + 4x) = 9x + -15 6x + (8 * -1 + 4x * -1) = 9x + -15 6x + (-8 + -4x) = 9x + -15 Reorder the terms: -8 + 6x + -4x = 9x + -15 Combine like terms: 6x + -4x = 2x -8 + 2x = 9x + -15 Reorder the terms: -8 + 2x = -15 + 9x Solving -8 + 2x = -15 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -8 + 2x + -9x = -15 + 9x + -9x Combine like terms: 2x + -9x = -7x -8 + -7x = -15 + 9x + -9x Combine like terms: 9x + -9x = 0 -8 + -7x = -15 + 0 -8 + -7x = -15 Add '8' to each side of the equation. -8 + 8 + -7x = -15 + 8 Combine like terms: -8 + 8 = 0 0 + -7x = -15 + 8 -7x = -15 + 8 Combine like terms: -15 + 8 = -7 -7x = -7 Divide each side by '-7'. x = 1 Simplifying x = 1
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