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Simplifying 155 = (4x + -20) + (3x + 14) Reorder the terms: 155 = (-20 + 4x) + (3x + 14) Remove parenthesis around (-20 + 4x) 155 = -20 + 4x + (3x + 14) Reorder the terms: 155 = -20 + 4x + (14 + 3x) Remove parenthesis around (14 + 3x) 155 = -20 + 4x + 14 + 3x Reorder the terms: 155 = -20 + 14 + 4x + 3x Combine like terms: -20 + 14 = -6 155 = -6 + 4x + 3x Combine like terms: 4x + 3x = 7x 155 = -6 + 7x Solving 155 = -6 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 155 + -7x = -6 + 7x + -7x Combine like terms: 7x + -7x = 0 155 + -7x = -6 + 0 155 + -7x = -6 Add '-155' to each side of the equation. 155 + -155 + -7x = -6 + -155 Combine like terms: 155 + -155 = 0 0 + -7x = -6 + -155 -7x = -6 + -155 Combine like terms: -6 + -155 = -161 -7x = -161 Divide each side by '-7'. x = 23 Simplifying x = 23
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