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Simplifying 7 + 4(4x + -6) = 9 + -3(2x + 1) Reorder the terms: 7 + 4(-6 + 4x) = 9 + -3(2x + 1) 7 + (-6 * 4 + 4x * 4) = 9 + -3(2x + 1) 7 + (-24 + 16x) = 9 + -3(2x + 1) Combine like terms: 7 + -24 = -17 -17 + 16x = 9 + -3(2x + 1) Reorder the terms: -17 + 16x = 9 + -3(1 + 2x) -17 + 16x = 9 + (1 * -3 + 2x * -3) -17 + 16x = 9 + (-3 + -6x) Combine like terms: 9 + -3 = 6 -17 + 16x = 6 + -6x Solving -17 + 16x = 6 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -17 + 16x + 6x = 6 + -6x + 6x Combine like terms: 16x + 6x = 22x -17 + 22x = 6 + -6x + 6x Combine like terms: -6x + 6x = 0 -17 + 22x = 6 + 0 -17 + 22x = 6 Add '17' to each side of the equation. -17 + 17 + 22x = 6 + 17 Combine like terms: -17 + 17 = 0 0 + 22x = 6 + 17 22x = 6 + 17 Combine like terms: 6 + 17 = 23 22x = 23 Divide each side by '22'. x = 1.045454545 Simplifying x = 1.045454545
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