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Simplifying 10(-10x + -6) = -7(x + 3) Reorder the terms: 10(-6 + -10x) = -7(x + 3) (-6 * 10 + -10x * 10) = -7(x + 3) (-60 + -100x) = -7(x + 3) Reorder the terms: -60 + -100x = -7(3 + x) -60 + -100x = (3 * -7 + x * -7) -60 + -100x = (-21 + -7x) Solving -60 + -100x = -21 + -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. -60 + -100x + 7x = -21 + -7x + 7x Combine like terms: -100x + 7x = -93x -60 + -93x = -21 + -7x + 7x Combine like terms: -7x + 7x = 0 -60 + -93x = -21 + 0 -60 + -93x = -21 Add '60' to each side of the equation. -60 + 60 + -93x = -21 + 60 Combine like terms: -60 + 60 = 0 0 + -93x = -21 + 60 -93x = -21 + 60 Combine like terms: -21 + 60 = 39 -93x = 39 Divide each side by '-93'. x = -0.4193548387 Simplifying x = -0.4193548387
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