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Simplifying -19(2x + -26) = 152(-6x + 55) Reorder the terms: -19(-26 + 2x) = 152(-6x + 55) (-26 * -19 + 2x * -19) = 152(-6x + 55) (494 + -38x) = 152(-6x + 55) Reorder the terms: 494 + -38x = 152(55 + -6x) 494 + -38x = (55 * 152 + -6x * 152) 494 + -38x = (8360 + -912x) Solving 494 + -38x = 8360 + -912x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '912x' to each side of the equation. 494 + -38x + 912x = 8360 + -912x + 912x Combine like terms: -38x + 912x = 874x 494 + 874x = 8360 + -912x + 912x Combine like terms: -912x + 912x = 0 494 + 874x = 8360 + 0 494 + 874x = 8360 Add '-494' to each side of the equation. 494 + -494 + 874x = 8360 + -494 Combine like terms: 494 + -494 = 0 0 + 874x = 8360 + -494 874x = 8360 + -494 Combine like terms: 8360 + -494 = 7866 874x = 7866 Divide each side by '874'. x = 9 Simplifying x = 9
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