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Simplifying 223 = 3(2x + 1) + -4(4x + 7) + 21 Reorder the terms: 223 = 3(1 + 2x) + -4(4x + 7) + 21 223 = (1 * 3 + 2x * 3) + -4(4x + 7) + 21 223 = (3 + 6x) + -4(4x + 7) + 21 Reorder the terms: 223 = 3 + 6x + -4(7 + 4x) + 21 223 = 3 + 6x + (7 * -4 + 4x * -4) + 21 223 = 3 + 6x + (-28 + -16x) + 21 Reorder the terms: 223 = 3 + -28 + 21 + 6x + -16x Combine like terms: 3 + -28 = -25 223 = -25 + 21 + 6x + -16x Combine like terms: -25 + 21 = -4 223 = -4 + 6x + -16x Combine like terms: 6x + -16x = -10x 223 = -4 + -10x Solving 223 = -4 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 223 + 10x = -4 + -10x + 10x Combine like terms: -10x + 10x = 0 223 + 10x = -4 + 0 223 + 10x = -4 Add '-223' to each side of the equation. 223 + -223 + 10x = -4 + -223 Combine like terms: 223 + -223 = 0 0 + 10x = -4 + -223 10x = -4 + -223 Combine like terms: -4 + -223 = -227 10x = -227 Divide each side by '10'. x = -22.7 Simplifying x = -22.7
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