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Simplifying 15x + 2(3 + -8x) = 6x + -1 15x + (3 * 2 + -8x * 2) = 6x + -1 15x + (6 + -16x) = 6x + -1 Reorder the terms: 6 + 15x + -16x = 6x + -1 Combine like terms: 15x + -16x = -1x 6 + -1x = 6x + -1 Reorder the terms: 6 + -1x = -1 + 6x Solving 6 + -1x = -1 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 6 + -1x + -6x = -1 + 6x + -6x Combine like terms: -1x + -6x = -7x 6 + -7x = -1 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + -7x = -1 + 0 6 + -7x = -1 Add '-6' to each side of the equation. 6 + -6 + -7x = -1 + -6 Combine like terms: 6 + -6 = 0 0 + -7x = -1 + -6 -7x = -1 + -6 Combine like terms: -1 + -6 = -7 -7x = -7 Divide each side by '-7'. x = 1 Simplifying x = 1
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