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Simplifying -19(64x + -70) = 38(-8x + -157) Reorder the terms: -19(-70 + 64x) = 38(-8x + -157) (-70 * -19 + 64x * -19) = 38(-8x + -157) (1330 + -1216x) = 38(-8x + -157) Reorder the terms: 1330 + -1216x = 38(-157 + -8x) 1330 + -1216x = (-157 * 38 + -8x * 38) 1330 + -1216x = (-5966 + -304x) Solving 1330 + -1216x = -5966 + -304x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '304x' to each side of the equation. 1330 + -1216x + 304x = -5966 + -304x + 304x Combine like terms: -1216x + 304x = -912x 1330 + -912x = -5966 + -304x + 304x Combine like terms: -304x + 304x = 0 1330 + -912x = -5966 + 0 1330 + -912x = -5966 Add '-1330' to each side of the equation. 1330 + -1330 + -912x = -5966 + -1330 Combine like terms: 1330 + -1330 = 0 0 + -912x = -5966 + -1330 -912x = -5966 + -1330 Combine like terms: -5966 + -1330 = -7296 -912x = -7296 Divide each side by '-912'. x = 8 Simplifying x = 8
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