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Simplifying 6(4x + -3) + -10 = 2(7x + -9) Reorder the terms: 6(-3 + 4x) + -10 = 2(7x + -9) (-3 * 6 + 4x * 6) + -10 = 2(7x + -9) (-18 + 24x) + -10 = 2(7x + -9) Reorder the terms: -18 + -10 + 24x = 2(7x + -9) Combine like terms: -18 + -10 = -28 -28 + 24x = 2(7x + -9) Reorder the terms: -28 + 24x = 2(-9 + 7x) -28 + 24x = (-9 * 2 + 7x * 2) -28 + 24x = (-18 + 14x) Solving -28 + 24x = -18 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -28 + 24x + -14x = -18 + 14x + -14x Combine like terms: 24x + -14x = 10x -28 + 10x = -18 + 14x + -14x Combine like terms: 14x + -14x = 0 -28 + 10x = -18 + 0 -28 + 10x = -18 Add '28' to each side of the equation. -28 + 28 + 10x = -18 + 28 Combine like terms: -28 + 28 = 0 0 + 10x = -18 + 28 10x = -18 + 28 Combine like terms: -18 + 28 = 10 10x = 10 Divide each side by '10'. x = 1 Simplifying x = 1
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