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Simplifying 1.5x + -2.1(2x + 3) = 4.2x + 0.3(x + 9) Reorder the terms: 1.5x + -2.1(3 + 2x) = 4.2x + 0.3(x + 9) 1.5x + (3 * -2.1 + 2x * -2.1) = 4.2x + 0.3(x + 9) 1.5x + (-6.3 + -4.2x) = 4.2x + 0.3(x + 9) Reorder the terms: -6.3 + 1.5x + -4.2x = 4.2x + 0.3(x + 9) Combine like terms: 1.5x + -4.2x = -2.7x -6.3 + -2.7x = 4.2x + 0.3(x + 9) Reorder the terms: -6.3 + -2.7x = 4.2x + 0.3(9 + x) -6.3 + -2.7x = 4.2x + (9 * 0.3 + x * 0.3) -6.3 + -2.7x = 4.2x + (2.7 + 0.3x) Reorder the terms: -6.3 + -2.7x = 2.7 + 4.2x + 0.3x Combine like terms: 4.2x + 0.3x = 4.5x -6.3 + -2.7x = 2.7 + 4.5x Solving -6.3 + -2.7x = 2.7 + 4.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.5x' to each side of the equation. -6.3 + -2.7x + -4.5x = 2.7 + 4.5x + -4.5x Combine like terms: -2.7x + -4.5x = -7.2x -6.3 + -7.2x = 2.7 + 4.5x + -4.5x Combine like terms: 4.5x + -4.5x = 0.0 -6.3 + -7.2x = 2.7 + 0.0 -6.3 + -7.2x = 2.7 Add '6.3' to each side of the equation. -6.3 + 6.3 + -7.2x = 2.7 + 6.3 Combine like terms: -6.3 + 6.3 = 0.0 0.0 + -7.2x = 2.7 + 6.3 -7.2x = 2.7 + 6.3 Combine like terms: 2.7 + 6.3 = 9 -7.2x = 9 Divide each side by '-7.2'. x = -1.25 Simplifying x = -1.25
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