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Simplifying 7(-13x + 19) = 22(x + -4) Reorder the terms: 7(19 + -13x) = 22(x + -4) (19 * 7 + -13x * 7) = 22(x + -4) (133 + -91x) = 22(x + -4) Reorder the terms: 133 + -91x = 22(-4 + x) 133 + -91x = (-4 * 22 + x * 22) 133 + -91x = (-88 + 22x) Solving 133 + -91x = -88 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. 133 + -91x + -22x = -88 + 22x + -22x Combine like terms: -91x + -22x = -113x 133 + -113x = -88 + 22x + -22x Combine like terms: 22x + -22x = 0 133 + -113x = -88 + 0 133 + -113x = -88 Add '-133' to each side of the equation. 133 + -133 + -113x = -88 + -133 Combine like terms: 133 + -133 = 0 0 + -113x = -88 + -133 -113x = -88 + -133 Combine like terms: -88 + -133 = -221 -113x = -221 Divide each side by '-113'. x = 1.955752212 Simplifying x = 1.955752212
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