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Simplifying 7 + 2(4x + -6) = 8 + -3(2x + 1) Reorder the terms: 7 + 2(-6 + 4x) = 8 + -3(2x + 1) 7 + (-6 * 2 + 4x * 2) = 8 + -3(2x + 1) 7 + (-12 + 8x) = 8 + -3(2x + 1) Combine like terms: 7 + -12 = -5 -5 + 8x = 8 + -3(2x + 1) Reorder the terms: -5 + 8x = 8 + -3(1 + 2x) -5 + 8x = 8 + (1 * -3 + 2x * -3) -5 + 8x = 8 + (-3 + -6x) Combine like terms: 8 + -3 = 5 -5 + 8x = 5 + -6x Solving -5 + 8x = 5 + -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. -5 + 8x + 6x = 5 + -6x + 6x Combine like terms: 8x + 6x = 14x -5 + 14x = 5 + -6x + 6x Combine like terms: -6x + 6x = 0 -5 + 14x = 5 + 0 -5 + 14x = 5 Add '5' to each side of the equation. -5 + 5 + 14x = 5 + 5 Combine like terms: -5 + 5 = 0 0 + 14x = 5 + 5 14x = 5 + 5 Combine like terms: 5 + 5 = 10 14x = 10 Divide each side by '14'. x = 0.7142857143 Simplifying x = 0.7142857143
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