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Simplifying 29(3x + -6) + -2 = 2(x + -3) + 16 Reorder the terms: 29(-6 + 3x) + -2 = 2(x + -3) + 16 (-6 * 29 + 3x * 29) + -2 = 2(x + -3) + 16 (-174 + 87x) + -2 = 2(x + -3) + 16 Reorder the terms: -174 + -2 + 87x = 2(x + -3) + 16 Combine like terms: -174 + -2 = -176 -176 + 87x = 2(x + -3) + 16 Reorder the terms: -176 + 87x = 2(-3 + x) + 16 -176 + 87x = (-3 * 2 + x * 2) + 16 -176 + 87x = (-6 + 2x) + 16 Reorder the terms: -176 + 87x = -6 + 16 + 2x Combine like terms: -6 + 16 = 10 -176 + 87x = 10 + 2x Solving -176 + 87x = 10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -176 + 87x + -2x = 10 + 2x + -2x Combine like terms: 87x + -2x = 85x -176 + 85x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 -176 + 85x = 10 + 0 -176 + 85x = 10 Add '176' to each side of the equation. -176 + 176 + 85x = 10 + 176 Combine like terms: -176 + 176 = 0 0 + 85x = 10 + 176 85x = 10 + 176 Combine like terms: 10 + 176 = 186 85x = 186 Divide each side by '85'. x = 2.188235294 Simplifying x = 2.188235294
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