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Simplifying -1x + 3(2x + -5) + 3x + 6 = 2x + -51 Reorder the terms: -1x + 3(-5 + 2x) + 3x + 6 = 2x + -51 -1x + (-5 * 3 + 2x * 3) + 3x + 6 = 2x + -51 -1x + (-15 + 6x) + 3x + 6 = 2x + -51 Reorder the terms: -15 + 6 + -1x + 6x + 3x = 2x + -51 Combine like terms: -15 + 6 = -9 -9 + -1x + 6x + 3x = 2x + -51 Combine like terms: -1x + 6x = 5x -9 + 5x + 3x = 2x + -51 Combine like terms: 5x + 3x = 8x -9 + 8x = 2x + -51 Reorder the terms: -9 + 8x = -51 + 2x Solving -9 + 8x = -51 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -9 + 8x + -2x = -51 + 2x + -2x Combine like terms: 8x + -2x = 6x -9 + 6x = -51 + 2x + -2x Combine like terms: 2x + -2x = 0 -9 + 6x = -51 + 0 -9 + 6x = -51 Add '9' to each side of the equation. -9 + 9 + 6x = -51 + 9 Combine like terms: -9 + 9 = 0 0 + 6x = -51 + 9 6x = -51 + 9 Combine like terms: -51 + 9 = -42 6x = -42 Divide each side by '6'. x = -7 Simplifying x = -7
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