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Simplifying -7 + 4(2x + -2) = 3(9x + 2) + -5 Reorder the terms: -7 + 4(-2 + 2x) = 3(9x + 2) + -5 -7 + (-2 * 4 + 2x * 4) = 3(9x + 2) + -5 -7 + (-8 + 8x) = 3(9x + 2) + -5 Combine like terms: -7 + -8 = -15 -15 + 8x = 3(9x + 2) + -5 Reorder the terms: -15 + 8x = 3(2 + 9x) + -5 -15 + 8x = (2 * 3 + 9x * 3) + -5 -15 + 8x = (6 + 27x) + -5 Reorder the terms: -15 + 8x = 6 + -5 + 27x Combine like terms: 6 + -5 = 1 -15 + 8x = 1 + 27x Solving -15 + 8x = 1 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. -15 + 8x + -27x = 1 + 27x + -27x Combine like terms: 8x + -27x = -19x -15 + -19x = 1 + 27x + -27x Combine like terms: 27x + -27x = 0 -15 + -19x = 1 + 0 -15 + -19x = 1 Add '15' to each side of the equation. -15 + 15 + -19x = 1 + 15 Combine like terms: -15 + 15 = 0 0 + -19x = 1 + 15 -19x = 1 + 15 Combine like terms: 1 + 15 = 16 -19x = 16 Divide each side by '-19'. x = -0.8421052632 Simplifying x = -0.8421052632
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