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