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Simplifying 4x + 4(x + 9) = -3 + 10(2x + 3) Reorder the terms: 4x + 4(9 + x) = -3 + 10(2x + 3) 4x + (9 * 4 + x * 4) = -3 + 10(2x + 3) 4x + (36 + 4x) = -3 + 10(2x + 3) Reorder the terms: 36 + 4x + 4x = -3 + 10(2x + 3) Combine like terms: 4x + 4x = 8x 36 + 8x = -3 + 10(2x + 3) Reorder the terms: 36 + 8x = -3 + 10(3 + 2x) 36 + 8x = -3 + (3 * 10 + 2x * 10) 36 + 8x = -3 + (30 + 20x) Combine like terms: -3 + 30 = 27 36 + 8x = 27 + 20x Solving 36 + 8x = 27 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 36 + 8x + -20x = 27 + 20x + -20x Combine like terms: 8x + -20x = -12x 36 + -12x = 27 + 20x + -20x Combine like terms: 20x + -20x = 0 36 + -12x = 27 + 0 36 + -12x = 27 Add '-36' to each side of the equation. 36 + -36 + -12x = 27 + -36 Combine like terms: 36 + -36 = 0 0 + -12x = 27 + -36 -12x = 27 + -36 Combine like terms: 27 + -36 = -9 -12x = -9 Divide each side by '-12'. x = 0.75 Simplifying x = 0.75
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