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Simplifying 3(2x + -6) + 5 = 4x + 7 Reorder the terms: 3(-6 + 2x) + 5 = 4x + 7 (-6 * 3 + 2x * 3) + 5 = 4x + 7 (-18 + 6x) + 5 = 4x + 7 Reorder the terms: -18 + 5 + 6x = 4x + 7 Combine like terms: -18 + 5 = -13 -13 + 6x = 4x + 7 Reorder the terms: -13 + 6x = 7 + 4x Solving -13 + 6x = 7 + 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. -13 + 6x + -4x = 7 + 4x + -4x Combine like terms: 6x + -4x = 2x -13 + 2x = 7 + 4x + -4x Combine like terms: 4x + -4x = 0 -13 + 2x = 7 + 0 -13 + 2x = 7 Add '13' to each side of the equation. -13 + 13 + 2x = 7 + 13 Combine like terms: -13 + 13 = 0 0 + 2x = 7 + 13 2x = 7 + 13 Combine like terms: 7 + 13 = 20 2x = 20 Divide each side by '2'. x = 10 Simplifying x = 10
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