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Simplifying 10(x + -3) = 4(6x + 7) + -2 Reorder the terms: 10(-3 + x) = 4(6x + 7) + -2 (-3 * 10 + x * 10) = 4(6x + 7) + -2 (-30 + 10x) = 4(6x + 7) + -2 Reorder the terms: -30 + 10x = 4(7 + 6x) + -2 -30 + 10x = (7 * 4 + 6x * 4) + -2 -30 + 10x = (28 + 24x) + -2 Reorder the terms: -30 + 10x = 28 + -2 + 24x Combine like terms: 28 + -2 = 26 -30 + 10x = 26 + 24x Solving -30 + 10x = 26 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -30 + 10x + -24x = 26 + 24x + -24x Combine like terms: 10x + -24x = -14x -30 + -14x = 26 + 24x + -24x Combine like terms: 24x + -24x = 0 -30 + -14x = 26 + 0 -30 + -14x = 26 Add '30' to each side of the equation. -30 + 30 + -14x = 26 + 30 Combine like terms: -30 + 30 = 0 0 + -14x = 26 + 30 -14x = 26 + 30 Combine like terms: 26 + 30 = 56 -14x = 56 Divide each side by '-14'. x = -4 Simplifying x = -4
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