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Simplifying 5(3 + -1x) + -4(x + -3) = 5 + -4x (3 * 5 + -1x * 5) + -4(x + -3) = 5 + -4x (15 + -5x) + -4(x + -3) = 5 + -4x Reorder the terms: 15 + -5x + -4(-3 + x) = 5 + -4x 15 + -5x + (-3 * -4 + x * -4) = 5 + -4x 15 + -5x + (12 + -4x) = 5 + -4x Reorder the terms: 15 + 12 + -5x + -4x = 5 + -4x Combine like terms: 15 + 12 = 27 27 + -5x + -4x = 5 + -4x Combine like terms: -5x + -4x = -9x 27 + -9x = 5 + -4x Solving 27 + -9x = 5 + -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. 27 + -9x + 4x = 5 + -4x + 4x Combine like terms: -9x + 4x = -5x 27 + -5x = 5 + -4x + 4x Combine like terms: -4x + 4x = 0 27 + -5x = 5 + 0 27 + -5x = 5 Add '-27' to each side of the equation. 27 + -27 + -5x = 5 + -27 Combine like terms: 27 + -27 = 0 0 + -5x = 5 + -27 -5x = 5 + -27 Combine like terms: 5 + -27 = -22 -5x = -22 Divide each side by '-5'. x = 4.4 Simplifying x = 4.4
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