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Simplifying 4(13x + -29) = 3 + -5(x + 5) Reorder the terms: 4(-29 + 13x) = 3 + -5(x + 5) (-29 * 4 + 13x * 4) = 3 + -5(x + 5) (-116 + 52x) = 3 + -5(x + 5) Reorder the terms: -116 + 52x = 3 + -5(5 + x) -116 + 52x = 3 + (5 * -5 + x * -5) -116 + 52x = 3 + (-25 + -5x) Combine like terms: 3 + -25 = -22 -116 + 52x = -22 + -5x Solving -116 + 52x = -22 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -116 + 52x + 5x = -22 + -5x + 5x Combine like terms: 52x + 5x = 57x -116 + 57x = -22 + -5x + 5x Combine like terms: -5x + 5x = 0 -116 + 57x = -22 + 0 -116 + 57x = -22 Add '116' to each side of the equation. -116 + 116 + 57x = -22 + 116 Combine like terms: -116 + 116 = 0 0 + 57x = -22 + 116 57x = -22 + 116 Combine like terms: -22 + 116 = 94 57x = 94 Divide each side by '57'. x = 1.649122807 Simplifying x = 1.649122807
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