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Simplifying 155 = x + (x + -5) + 4(x + -5) Reorder the terms: 155 = x + (-5 + x) + 4(x + -5) Remove parenthesis around (-5 + x) 155 = x + -5 + x + 4(x + -5) Reorder the terms: 155 = x + -5 + x + 4(-5 + x) 155 = x + -5 + x + (-5 * 4 + x * 4) 155 = x + -5 + x + (-20 + 4x) Reorder the terms: 155 = -5 + -20 + x + x + 4x Combine like terms: -5 + -20 = -25 155 = -25 + x + x + 4x Combine like terms: x + x = 2x 155 = -25 + 2x + 4x Combine like terms: 2x + 4x = 6x 155 = -25 + 6x Solving 155 = -25 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 155 + -6x = -25 + 6x + -6x Combine like terms: 6x + -6x = 0 155 + -6x = -25 + 0 155 + -6x = -25 Add '-155' to each side of the equation. 155 + -155 + -6x = -25 + -155 Combine like terms: 155 + -155 = 0 0 + -6x = -25 + -155 -6x = -25 + -155 Combine like terms: -25 + -155 = -180 -6x = -180 Divide each side by '-6'. x = 30 Simplifying x = 30
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