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Simplifying 2(9x + 7) = 4(3x + -3) + 23 Reorder the terms: 2(7 + 9x) = 4(3x + -3) + 23 (7 * 2 + 9x * 2) = 4(3x + -3) + 23 (14 + 18x) = 4(3x + -3) + 23 Reorder the terms: 14 + 18x = 4(-3 + 3x) + 23 14 + 18x = (-3 * 4 + 3x * 4) + 23 14 + 18x = (-12 + 12x) + 23 Reorder the terms: 14 + 18x = -12 + 23 + 12x Combine like terms: -12 + 23 = 11 14 + 18x = 11 + 12x Solving 14 + 18x = 11 + 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. 14 + 18x + -12x = 11 + 12x + -12x Combine like terms: 18x + -12x = 6x 14 + 6x = 11 + 12x + -12x Combine like terms: 12x + -12x = 0 14 + 6x = 11 + 0 14 + 6x = 11 Add '-14' to each side of the equation. 14 + -14 + 6x = 11 + -14 Combine like terms: 14 + -14 = 0 0 + 6x = 11 + -14 6x = 11 + -14 Combine like terms: 11 + -14 = -3 6x = -3 Divide each side by '6'. x = -0.5 Simplifying x = -0.5
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