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Simplifying 3 + -1.5(x + 1) = 6x + -9 Reorder the terms: 3 + -1.5(1 + x) = 6x + -9 3 + (1 * -1.5 + x * -1.5) = 6x + -9 3 + (-1.5 + -1.5x) = 6x + -9 Combine like terms: 3 + -1.5 = 1.5 1.5 + -1.5x = 6x + -9 Reorder the terms: 1.5 + -1.5x = -9 + 6x Solving 1.5 + -1.5x = -9 + 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. 1.5 + -1.5x + -6x = -9 + 6x + -6x Combine like terms: -1.5x + -6x = -7.5x 1.5 + -7.5x = -9 + 6x + -6x Combine like terms: 6x + -6x = 0 1.5 + -7.5x = -9 + 0 1.5 + -7.5x = -9 Add '-1.5' to each side of the equation. 1.5 + -1.5 + -7.5x = -9 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -7.5x = -9 + -1.5 -7.5x = -9 + -1.5 Combine like terms: -9 + -1.5 = -10.5 -7.5x = -10.5 Divide each side by '-7.5'. x = 1.4 Simplifying x = 1.4
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