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Simplifying 3(2x + -1) + 1.5(3x + 4) = 1 + -4x Reorder the terms: 3(-1 + 2x) + 1.5(3x + 4) = 1 + -4x (-1 * 3 + 2x * 3) + 1.5(3x + 4) = 1 + -4x (-3 + 6x) + 1.5(3x + 4) = 1 + -4x Reorder the terms: -3 + 6x + 1.5(4 + 3x) = 1 + -4x -3 + 6x + (4 * 1.5 + 3x * 1.5) = 1 + -4x -3 + 6x + (6 + 4.5x) = 1 + -4x Reorder the terms: -3 + 6 + 6x + 4.5x = 1 + -4x Combine like terms: -3 + 6 = 3 3 + 6x + 4.5x = 1 + -4x Combine like terms: 6x + 4.5x = 10.5x 3 + 10.5x = 1 + -4x Solving 3 + 10.5x = 1 + -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. 3 + 10.5x + 4x = 1 + -4x + 4x Combine like terms: 10.5x + 4x = 14.5x 3 + 14.5x = 1 + -4x + 4x Combine like terms: -4x + 4x = 0 3 + 14.5x = 1 + 0 3 + 14.5x = 1 Add '-3' to each side of the equation. 3 + -3 + 14.5x = 1 + -3 Combine like terms: 3 + -3 = 0 0 + 14.5x = 1 + -3 14.5x = 1 + -3 Combine like terms: 1 + -3 = -2 14.5x = -2 Divide each side by '14.5'. x = -0.1379310345 Simplifying x = -0.1379310345
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