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Simplifying 2(9x + 2) + -10x = 12x + -7 Reorder the terms: 2(2 + 9x) + -10x = 12x + -7 (2 * 2 + 9x * 2) + -10x = 12x + -7 (4 + 18x) + -10x = 12x + -7 Combine like terms: 18x + -10x = 8x 4 + 8x = 12x + -7 Reorder the terms: 4 + 8x = -7 + 12x Solving 4 + 8x = -7 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 4 + 8x + -12x = -7 + 12x + -12x Combine like terms: 8x + -12x = -4x 4 + -4x = -7 + 12x + -12x Combine like terms: 12x + -12x = 0 4 + -4x = -7 + 0 4 + -4x = -7 Add '-4' to each side of the equation. 4 + -4 + -4x = -7 + -4 Combine like terms: 4 + -4 = 0 0 + -4x = -7 + -4 -4x = -7 + -4 Combine like terms: -7 + -4 = -11 -4x = -11 Divide each side by '-4'. x = 2.75 Simplifying x = 2.75
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