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Simplifying 4(2x + 3) = -3(x + -1) + 20 Reorder the terms: 4(3 + 2x) = -3(x + -1) + 20 (3 * 4 + 2x * 4) = -3(x + -1) + 20 (12 + 8x) = -3(x + -1) + 20 Reorder the terms: 12 + 8x = -3(-1 + x) + 20 12 + 8x = (-1 * -3 + x * -3) + 20 12 + 8x = (3 + -3x) + 20 Reorder the terms: 12 + 8x = 3 + 20 + -3x Combine like terms: 3 + 20 = 23 12 + 8x = 23 + -3x Solving 12 + 8x = 23 + -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. 12 + 8x + 3x = 23 + -3x + 3x Combine like terms: 8x + 3x = 11x 12 + 11x = 23 + -3x + 3x Combine like terms: -3x + 3x = 0 12 + 11x = 23 + 0 12 + 11x = 23 Add '-12' to each side of the equation. 12 + -12 + 11x = 23 + -12 Combine like terms: 12 + -12 = 0 0 + 11x = 23 + -12 11x = 23 + -12 Combine like terms: 23 + -12 = 11 11x = 11 Divide each side by '11'. x = 1 Simplifying x = 1
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