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Simplifying 3x + 2(2x + -4) + -10 = 3x + -6 Reorder the terms: 3x + 2(-4 + 2x) + -10 = 3x + -6 3x + (-4 * 2 + 2x * 2) + -10 = 3x + -6 3x + (-8 + 4x) + -10 = 3x + -6 Reorder the terms: -8 + -10 + 3x + 4x = 3x + -6 Combine like terms: -8 + -10 = -18 -18 + 3x + 4x = 3x + -6 Combine like terms: 3x + 4x = 7x -18 + 7x = 3x + -6 Reorder the terms: -18 + 7x = -6 + 3x Solving -18 + 7x = -6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -18 + 7x + -3x = -6 + 3x + -3x Combine like terms: 7x + -3x = 4x -18 + 4x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 -18 + 4x = -6 + 0 -18 + 4x = -6 Add '18' to each side of the equation. -18 + 18 + 4x = -6 + 18 Combine like terms: -18 + 18 = 0 0 + 4x = -6 + 18 4x = -6 + 18 Combine like terms: -6 + 18 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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