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Simplifying 7(5 + -10x) + 3(-2 + -4x) = -53 (5 * 7 + -10x * 7) + 3(-2 + -4x) = -53 (35 + -70x) + 3(-2 + -4x) = -53 35 + -70x + (-2 * 3 + -4x * 3) = -53 35 + -70x + (-6 + -12x) = -53 Reorder the terms: 35 + -6 + -70x + -12x = -53 Combine like terms: 35 + -6 = 29 29 + -70x + -12x = -53 Combine like terms: -70x + -12x = -82x 29 + -82x = -53 Solving 29 + -82x = -53 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + -82x = -53 + -29 Combine like terms: 29 + -29 = 0 0 + -82x = -53 + -29 -82x = -53 + -29 Combine like terms: -53 + -29 = -82 -82x = -82 Divide each side by '-82'. x = 1 Simplifying x = 1
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