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Simplifying 3.4(x + -4) = 12.5(5 + -1x) + 100 Reorder the terms: 3.4(-4 + x) = 12.5(5 + -1x) + 100 (-4 * 3.4 + x * 3.4) = 12.5(5 + -1x) + 100 (-13.6 + 3.4x) = 12.5(5 + -1x) + 100 -13.6 + 3.4x = (5 * 12.5 + -1x * 12.5) + 100 -13.6 + 3.4x = (62.5 + -12.5x) + 100 Reorder the terms: -13.6 + 3.4x = 62.5 + 100 + -12.5x Combine like terms: 62.5 + 100 = 162.5 -13.6 + 3.4x = 162.5 + -12.5x Solving -13.6 + 3.4x = 162.5 + -12.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12.5x' to each side of the equation. -13.6 + 3.4x + 12.5x = 162.5 + -12.5x + 12.5x Combine like terms: 3.4x + 12.5x = 15.9x -13.6 + 15.9x = 162.5 + -12.5x + 12.5x Combine like terms: -12.5x + 12.5x = 0.0 -13.6 + 15.9x = 162.5 + 0.0 -13.6 + 15.9x = 162.5 Add '13.6' to each side of the equation. -13.6 + 13.6 + 15.9x = 162.5 + 13.6 Combine like terms: -13.6 + 13.6 = 0.0 0.0 + 15.9x = 162.5 + 13.6 15.9x = 162.5 + 13.6 Combine like terms: 162.5 + 13.6 = 176.1 15.9x = 176.1 Divide each side by '15.9'. x = 11.0754717 Simplifying x = 11.0754717
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