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Simplifying 5 + 2(x + -6) = 4 + -3(x + -9) Reorder the terms: 5 + 2(-6 + x) = 4 + -3(x + -9) 5 + (-6 * 2 + x * 2) = 4 + -3(x + -9) 5 + (-12 + 2x) = 4 + -3(x + -9) Combine like terms: 5 + -12 = -7 -7 + 2x = 4 + -3(x + -9) Reorder the terms: -7 + 2x = 4 + -3(-9 + x) -7 + 2x = 4 + (-9 * -3 + x * -3) -7 + 2x = 4 + (27 + -3x) Combine like terms: 4 + 27 = 31 -7 + 2x = 31 + -3x Solving -7 + 2x = 31 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -7 + 2x + 3x = 31 + -3x + 3x Combine like terms: 2x + 3x = 5x -7 + 5x = 31 + -3x + 3x Combine like terms: -3x + 3x = 0 -7 + 5x = 31 + 0 -7 + 5x = 31 Add '7' to each side of the equation. -7 + 7 + 5x = 31 + 7 Combine like terms: -7 + 7 = 0 0 + 5x = 31 + 7 5x = 31 + 7 Combine like terms: 31 + 7 = 38 5x = 38 Divide each side by '5'. x = 7.6 Simplifying x = 7.6
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