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Simplifying 3(2x + -7) = -2(5x + 4) + -10 Reorder the terms: 3(-7 + 2x) = -2(5x + 4) + -10 (-7 * 3 + 2x * 3) = -2(5x + 4) + -10 (-21 + 6x) = -2(5x + 4) + -10 Reorder the terms: -21 + 6x = -2(4 + 5x) + -10 -21 + 6x = (4 * -2 + 5x * -2) + -10 -21 + 6x = (-8 + -10x) + -10 Reorder the terms: -21 + 6x = -8 + -10 + -10x Combine like terms: -8 + -10 = -18 -21 + 6x = -18 + -10x Solving -21 + 6x = -18 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -21 + 6x + 10x = -18 + -10x + 10x Combine like terms: 6x + 10x = 16x -21 + 16x = -18 + -10x + 10x Combine like terms: -10x + 10x = 0 -21 + 16x = -18 + 0 -21 + 16x = -18 Add '21' to each side of the equation. -21 + 21 + 16x = -18 + 21 Combine like terms: -21 + 21 = 0 0 + 16x = -18 + 21 16x = -18 + 21 Combine like terms: -18 + 21 = 3 16x = 3 Divide each side by '16'. x = 0.1875 Simplifying x = 0.1875
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