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Simplifying 2(3x + -5) + -4 = 2(x + -2) + 10 Reorder the terms: 2(-5 + 3x) + -4 = 2(x + -2) + 10 (-5 * 2 + 3x * 2) + -4 = 2(x + -2) + 10 (-10 + 6x) + -4 = 2(x + -2) + 10 Reorder the terms: -10 + -4 + 6x = 2(x + -2) + 10 Combine like terms: -10 + -4 = -14 -14 + 6x = 2(x + -2) + 10 Reorder the terms: -14 + 6x = 2(-2 + x) + 10 -14 + 6x = (-2 * 2 + x * 2) + 10 -14 + 6x = (-4 + 2x) + 10 Reorder the terms: -14 + 6x = -4 + 10 + 2x Combine like terms: -4 + 10 = 6 -14 + 6x = 6 + 2x Solving -14 + 6x = 6 + 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. -14 + 6x + -2x = 6 + 2x + -2x Combine like terms: 6x + -2x = 4x -14 + 4x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -14 + 4x = 6 + 0 -14 + 4x = 6 Add '14' to each side of the equation. -14 + 14 + 4x = 6 + 14 Combine like terms: -14 + 14 = 0 0 + 4x = 6 + 14 4x = 6 + 14 Combine like terms: 6 + 14 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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