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Simplifying 4(2x + -13 + -1(x + -3)) = x + 29 Reorder the terms: 4(2x + -13 + -1(-3 + x)) = x + 29 4(2x + -13 + (-3 * -1 + x * -1)) = x + 29 4(2x + -13 + (3 + -1x)) = x + 29 Reorder the terms: 4(-13 + 3 + 2x + -1x) = x + 29 Combine like terms: -13 + 3 = -10 4(-10 + 2x + -1x) = x + 29 Combine like terms: 2x + -1x = 1x 4(-10 + 1x) = x + 29 (-10 * 4 + 1x * 4) = x + 29 (-40 + 4x) = x + 29 Reorder the terms: -40 + 4x = 29 + x Solving -40 + 4x = 29 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -40 + 4x + -1x = 29 + x + -1x Combine like terms: 4x + -1x = 3x -40 + 3x = 29 + x + -1x Combine like terms: x + -1x = 0 -40 + 3x = 29 + 0 -40 + 3x = 29 Add '40' to each side of the equation. -40 + 40 + 3x = 29 + 40 Combine like terms: -40 + 40 = 0 0 + 3x = 29 + 40 3x = 29 + 40 Combine like terms: 29 + 40 = 69 3x = 69 Divide each side by '3'. x = 23 Simplifying x = 23
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