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Simplifying -9 + 12x + -10 + -4x = 8x + -6x + 46 + -1(-1) Reorder the terms: -9 + -10 + 12x + -4x = 8x + -6x + 46 + -1(-1) Combine like terms: -9 + -10 = -19 -19 + 12x + -4x = 8x + -6x + 46 + -1(-1) Combine like terms: 12x + -4x = 8x -19 + 8x = 8x + -6x + 46 + -1(-1) Multiply -1 * -1 -19 + 8x = 8x + -6x + 46 + 1 Reorder the terms: -19 + 8x = 46 + 1 + 8x + -6x Combine like terms: 46 + 1 = 47 -19 + 8x = 47 + 8x + -6x Combine like terms: 8x + -6x = 2x -19 + 8x = 47 + 2x Solving -19 + 8x = 47 + 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. -19 + 8x + -2x = 47 + 2x + -2x Combine like terms: 8x + -2x = 6x -19 + 6x = 47 + 2x + -2x Combine like terms: 2x + -2x = 0 -19 + 6x = 47 + 0 -19 + 6x = 47 Add '19' to each side of the equation. -19 + 19 + 6x = 47 + 19 Combine like terms: -19 + 19 = 0 0 + 6x = 47 + 19 6x = 47 + 19 Combine like terms: 47 + 19 = 66 6x = 66 Divide each side by '6'. x = 11 Simplifying x = 11
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