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Simplifying 6x + 3(2x + -5) = 4 + -7x Reorder the terms: 6x + 3(-5 + 2x) = 4 + -7x 6x + (-5 * 3 + 2x * 3) = 4 + -7x 6x + (-15 + 6x) = 4 + -7x Reorder the terms: -15 + 6x + 6x = 4 + -7x Combine like terms: 6x + 6x = 12x -15 + 12x = 4 + -7x Solving -15 + 12x = 4 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -15 + 12x + 7x = 4 + -7x + 7x Combine like terms: 12x + 7x = 19x -15 + 19x = 4 + -7x + 7x Combine like terms: -7x + 7x = 0 -15 + 19x = 4 + 0 -15 + 19x = 4 Add '15' to each side of the equation. -15 + 15 + 19x = 4 + 15 Combine like terms: -15 + 15 = 0 0 + 19x = 4 + 15 19x = 4 + 15 Combine like terms: 4 + 15 = 19 19x = 19 Divide each side by '19'. x = 1 Simplifying x = 1
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