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Simplifying 4 + -2.5(x + -6) = 3 + 7x Reorder the terms: 4 + -2.5(-6 + x) = 3 + 7x 4 + (-6 * -2.5 + x * -2.5) = 3 + 7x 4 + (15 + -2.5x) = 3 + 7x Combine like terms: 4 + 15 = 19 19 + -2.5x = 3 + 7x Solving 19 + -2.5x = 3 + 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. 19 + -2.5x + -7x = 3 + 7x + -7x Combine like terms: -2.5x + -7x = -9.5x 19 + -9.5x = 3 + 7x + -7x Combine like terms: 7x + -7x = 0 19 + -9.5x = 3 + 0 19 + -9.5x = 3 Add '-19' to each side of the equation. 19 + -19 + -9.5x = 3 + -19 Combine like terms: 19 + -19 = 0 0 + -9.5x = 3 + -19 -9.5x = 3 + -19 Combine like terms: 3 + -19 = -16 -9.5x = -16 Divide each side by '-9.5'. x = 1.684210526 Simplifying x = 1.684210526
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