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Simplifying 204 = 6x + -7(-4 + 4x) 204 = 6x + (-4 * -7 + 4x * -7) 204 = 6x + (28 + -28x) Reorder the terms: 204 = 28 + 6x + -28x Combine like terms: 6x + -28x = -22x 204 = 28 + -22x Solving 204 = 28 + -22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22x' to each side of the equation. 204 + 22x = 28 + -22x + 22x Combine like terms: -22x + 22x = 0 204 + 22x = 28 + 0 204 + 22x = 28 Add '-204' to each side of the equation. 204 + -204 + 22x = 28 + -204 Combine like terms: 204 + -204 = 0 0 + 22x = 28 + -204 22x = 28 + -204 Combine like terms: 28 + -204 = -176 22x = -176 Divide each side by '22'. x = -8 Simplifying x = -8
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