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Simplifying 7 + x = 1.5(4x + -2) Reorder the terms: 7 + x = 1.5(-2 + 4x) 7 + x = (-2 * 1.5 + 4x * 1.5) 7 + x = (-3 + 6x) Solving 7 + x = -3 + 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. 7 + x + -6x = -3 + 6x + -6x Combine like terms: x + -6x = -5x 7 + -5x = -3 + 6x + -6x Combine like terms: 6x + -6x = 0 7 + -5x = -3 + 0 7 + -5x = -3 Add '-7' to each side of the equation. 7 + -7 + -5x = -3 + -7 Combine like terms: 7 + -7 = 0 0 + -5x = -3 + -7 -5x = -3 + -7 Combine like terms: -3 + -7 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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