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Simplifying 2(6x + -3) + -15 = 8(x + -1) + 6 + -2x Reorder the terms: 2(-3 + 6x) + -15 = 8(x + -1) + 6 + -2x (-3 * 2 + 6x * 2) + -15 = 8(x + -1) + 6 + -2x (-6 + 12x) + -15 = 8(x + -1) + 6 + -2x Reorder the terms: -6 + -15 + 12x = 8(x + -1) + 6 + -2x Combine like terms: -6 + -15 = -21 -21 + 12x = 8(x + -1) + 6 + -2x Reorder the terms: -21 + 12x = 8(-1 + x) + 6 + -2x -21 + 12x = (-1 * 8 + x * 8) + 6 + -2x -21 + 12x = (-8 + 8x) + 6 + -2x Reorder the terms: -21 + 12x = -8 + 6 + 8x + -2x Combine like terms: -8 + 6 = -2 -21 + 12x = -2 + 8x + -2x Combine like terms: 8x + -2x = 6x -21 + 12x = -2 + 6x Solving -21 + 12x = -2 + 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. -21 + 12x + -6x = -2 + 6x + -6x Combine like terms: 12x + -6x = 6x -21 + 6x = -2 + 6x + -6x Combine like terms: 6x + -6x = 0 -21 + 6x = -2 + 0 -21 + 6x = -2 Add '21' to each side of the equation. -21 + 21 + 6x = -2 + 21 Combine like terms: -21 + 21 = 0 0 + 6x = -2 + 21 6x = -2 + 21 Combine like terms: -2 + 21 = 19 6x = 19 Divide each side by '6'. x = 3.166666667 Simplifying x = 3.166666667
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