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Simplifying 4(x + 3) = -7x + 17 Reorder the terms: 4(3 + x) = -7x + 17 (3 * 4 + x * 4) = -7x + 17 (12 + 4x) = -7x + 17 Reorder the terms: 12 + 4x = 17 + -7x Solving 12 + 4x = 17 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 12 + 4x + 7x = 17 + -7x + 7x Combine like terms: 4x + 7x = 11x 12 + 11x = 17 + -7x + 7x Combine like terms: -7x + 7x = 0 12 + 11x = 17 + 0 12 + 11x = 17 Add '-12' to each side of the equation. 12 + -12 + 11x = 17 + -12 Combine like terms: 12 + -12 = 0 0 + 11x = 17 + -12 11x = 17 + -12 Combine like terms: 17 + -12 = 5 11x = 5 Divide each side by '11'. x = 0.4545454545 Simplifying x = 0.4545454545
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