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Simplifying 5x + -4(x + -9) = 4 + 2x Reorder the terms: 5x + -4(-9 + x) = 4 + 2x 5x + (-9 * -4 + x * -4) = 4 + 2x 5x + (36 + -4x) = 4 + 2x Reorder the terms: 36 + 5x + -4x = 4 + 2x Combine like terms: 5x + -4x = 1x 36 + 1x = 4 + 2x Solving 36 + 1x = 4 + 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. 36 + 1x + -2x = 4 + 2x + -2x Combine like terms: 1x + -2x = -1x 36 + -1x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 36 + -1x = 4 + 0 36 + -1x = 4 Add '-36' to each side of the equation. 36 + -36 + -1x = 4 + -36 Combine like terms: 36 + -36 = 0 0 + -1x = 4 + -36 -1x = 4 + -36 Combine like terms: 4 + -36 = -32 -1x = -32 Divide each side by '-1'. x = 32 Simplifying x = 32
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