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Simplifying 4(x + -10) + -8 = 1(x + -10) + 5 Reorder the terms: 4(-10 + x) + -8 = 1(x + -10) + 5 (-10 * 4 + x * 4) + -8 = 1(x + -10) + 5 (-40 + 4x) + -8 = 1(x + -10) + 5 Reorder the terms: -40 + -8 + 4x = 1(x + -10) + 5 Combine like terms: -40 + -8 = -48 -48 + 4x = 1(x + -10) + 5 Reorder the terms: -48 + 4x = 1(-10 + x) + 5 -48 + 4x = (-10 * 1 + x * 1) + 5 -48 + 4x = (-10 + 1x) + 5 Reorder the terms: -48 + 4x = -10 + 5 + 1x Combine like terms: -10 + 5 = -5 -48 + 4x = -5 + 1x Solving -48 + 4x = -5 + 1x 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. -48 + 4x + -1x = -5 + 1x + -1x Combine like terms: 4x + -1x = 3x -48 + 3x = -5 + 1x + -1x Combine like terms: 1x + -1x = 0 -48 + 3x = -5 + 0 -48 + 3x = -5 Add '48' to each side of the equation. -48 + 48 + 3x = -5 + 48 Combine like terms: -48 + 48 = 0 0 + 3x = -5 + 48 3x = -5 + 48 Combine like terms: -5 + 48 = 43 3x = 43 Divide each side by '3'. x = 14.33333333 Simplifying x = 14.33333333
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