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Simplifying 51(x + 3) + 9x + -23 = 20(4x + 8) Reorder the terms: 51(3 + x) + 9x + -23 = 20(4x + 8) (3 * 51 + x * 51) + 9x + -23 = 20(4x + 8) (153 + 51x) + 9x + -23 = 20(4x + 8) Reorder the terms: 153 + -23 + 51x + 9x = 20(4x + 8) Combine like terms: 153 + -23 = 130 130 + 51x + 9x = 20(4x + 8) Combine like terms: 51x + 9x = 60x 130 + 60x = 20(4x + 8) Reorder the terms: 130 + 60x = 20(8 + 4x) 130 + 60x = (8 * 20 + 4x * 20) 130 + 60x = (160 + 80x) Solving 130 + 60x = 160 + 80x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-80x' to each side of the equation. 130 + 60x + -80x = 160 + 80x + -80x Combine like terms: 60x + -80x = -20x 130 + -20x = 160 + 80x + -80x Combine like terms: 80x + -80x = 0 130 + -20x = 160 + 0 130 + -20x = 160 Add '-130' to each side of the equation. 130 + -130 + -20x = 160 + -130 Combine like terms: 130 + -130 = 0 0 + -20x = 160 + -130 -20x = 160 + -130 Combine like terms: 160 + -130 = 30 -20x = 30 Divide each side by '-20'. x = -1.5 Simplifying x = -1.5
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