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Simplifying 270 + 3x = 4(x + 30) Reorder the terms: 270 + 3x = 4(30 + x) 270 + 3x = (30 * 4 + x * 4) 270 + 3x = (120 + 4x) Solving 270 + 3x = 120 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 270 + 3x + -4x = 120 + 4x + -4x Combine like terms: 3x + -4x = -1x 270 + -1x = 120 + 4x + -4x Combine like terms: 4x + -4x = 0 270 + -1x = 120 + 0 270 + -1x = 120 Add '-270' to each side of the equation. 270 + -270 + -1x = 120 + -270 Combine like terms: 270 + -270 = 0 0 + -1x = 120 + -270 -1x = 120 + -270 Combine like terms: 120 + -270 = -150 -1x = -150 Divide each side by '-1'. x = 150 Simplifying x = 150
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