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Simplifying 3(2x + -6) + 10 = 4x + -1 Reorder the terms: 3(-6 + 2x) + 10 = 4x + -1 (-6 * 3 + 2x * 3) + 10 = 4x + -1 (-18 + 6x) + 10 = 4x + -1 Reorder the terms: -18 + 10 + 6x = 4x + -1 Combine like terms: -18 + 10 = -8 -8 + 6x = 4x + -1 Reorder the terms: -8 + 6x = -1 + 4x Solving -8 + 6x = -1 + 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. -8 + 6x + -4x = -1 + 4x + -4x Combine like terms: 6x + -4x = 2x -8 + 2x = -1 + 4x + -4x Combine like terms: 4x + -4x = 0 -8 + 2x = -1 + 0 -8 + 2x = -1 Add '8' to each side of the equation. -8 + 8 + 2x = -1 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = -1 + 8 2x = -1 + 8 Combine like terms: -1 + 8 = 7 2x = 7 Divide each side by '2'. x = 3.5 Simplifying x = 3.5
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