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Simplifying -5(-2x + 37) = 12(19 + -1x) Reorder the terms: -5(37 + -2x) = 12(19 + -1x) (37 * -5 + -2x * -5) = 12(19 + -1x) (-185 + 10x) = 12(19 + -1x) -185 + 10x = (19 * 12 + -1x * 12) -185 + 10x = (228 + -12x) Solving -185 + 10x = 228 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -185 + 10x + 12x = 228 + -12x + 12x Combine like terms: 10x + 12x = 22x -185 + 22x = 228 + -12x + 12x Combine like terms: -12x + 12x = 0 -185 + 22x = 228 + 0 -185 + 22x = 228 Add '185' to each side of the equation. -185 + 185 + 22x = 228 + 185 Combine like terms: -185 + 185 = 0 0 + 22x = 228 + 185 22x = 228 + 185 Combine like terms: 228 + 185 = 413 22x = 413 Divide each side by '22'. x = 18.77272727 Simplifying x = 18.77272727
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