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Simplifying 6(x + -3) + 2 = 5x + -1 + 2x Reorder the terms: 6(-3 + x) + 2 = 5x + -1 + 2x (-3 * 6 + x * 6) + 2 = 5x + -1 + 2x (-18 + 6x) + 2 = 5x + -1 + 2x Reorder the terms: -18 + 2 + 6x = 5x + -1 + 2x Combine like terms: -18 + 2 = -16 -16 + 6x = 5x + -1 + 2x Reorder the terms: -16 + 6x = -1 + 5x + 2x Combine like terms: 5x + 2x = 7x -16 + 6x = -1 + 7x Solving -16 + 6x = -1 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -16 + 6x + -7x = -1 + 7x + -7x Combine like terms: 6x + -7x = -1x -16 + -1x = -1 + 7x + -7x Combine like terms: 7x + -7x = 0 -16 + -1x = -1 + 0 -16 + -1x = -1 Add '16' to each side of the equation. -16 + 16 + -1x = -1 + 16 Combine like terms: -16 + 16 = 0 0 + -1x = -1 + 16 -1x = -1 + 16 Combine like terms: -1 + 16 = 15 -1x = 15 Divide each side by '-1'. x = -15 Simplifying x = -15
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