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Simplifying 5(x + 4) + -6x = 4(3x + 1) + -9x Reorder the terms: 5(4 + x) + -6x = 4(3x + 1) + -9x (4 * 5 + x * 5) + -6x = 4(3x + 1) + -9x (20 + 5x) + -6x = 4(3x + 1) + -9x Combine like terms: 5x + -6x = -1x 20 + -1x = 4(3x + 1) + -9x Reorder the terms: 20 + -1x = 4(1 + 3x) + -9x 20 + -1x = (1 * 4 + 3x * 4) + -9x 20 + -1x = (4 + 12x) + -9x Combine like terms: 12x + -9x = 3x 20 + -1x = 4 + 3x Solving 20 + -1x = 4 + 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. 20 + -1x + -3x = 4 + 3x + -3x Combine like terms: -1x + -3x = -4x 20 + -4x = 4 + 3x + -3x Combine like terms: 3x + -3x = 0 20 + -4x = 4 + 0 20 + -4x = 4 Add '-20' to each side of the equation. 20 + -20 + -4x = 4 + -20 Combine like terms: 20 + -20 = 0 0 + -4x = 4 + -20 -4x = 4 + -20 Combine like terms: 4 + -20 = -16 -4x = -16 Divide each side by '-4'. x = 4 Simplifying x = 4
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