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Simplifying 5(x + 4) + 3x + -9x = 6 + -2x + 5 + 8x Reorder the terms: 5(4 + x) + 3x + -9x = 6 + -2x + 5 + 8x (4 * 5 + x * 5) + 3x + -9x = 6 + -2x + 5 + 8x (20 + 5x) + 3x + -9x = 6 + -2x + 5 + 8x Combine like terms: 5x + 3x = 8x 20 + 8x + -9x = 6 + -2x + 5 + 8x Combine like terms: 8x + -9x = -1x 20 + -1x = 6 + -2x + 5 + 8x Reorder the terms: 20 + -1x = 6 + 5 + -2x + 8x Combine like terms: 6 + 5 = 11 20 + -1x = 11 + -2x + 8x Combine like terms: -2x + 8x = 6x 20 + -1x = 11 + 6x Solving 20 + -1x = 11 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 20 + -1x + -6x = 11 + 6x + -6x Combine like terms: -1x + -6x = -7x 20 + -7x = 11 + 6x + -6x Combine like terms: 6x + -6x = 0 20 + -7x = 11 + 0 20 + -7x = 11 Add '-20' to each side of the equation. 20 + -20 + -7x = 11 + -20 Combine like terms: 20 + -20 = 0 0 + -7x = 11 + -20 -7x = 11 + -20 Combine like terms: 11 + -20 = -9 -7x = -9 Divide each side by '-7'. x = 1.285714286 Simplifying x = 1.285714286
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