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Simplifying 1.9(-0.24x + 1.5) = -0.3x + 3.5988 Reorder the terms: 1.9(1.5 + -0.24x) = -0.3x + 3.5988 (1.5 * 1.9 + -0.24x * 1.9) = -0.3x + 3.5988 (2.85 + -0.456x) = -0.3x + 3.5988 Reorder the terms: 2.85 + -0.456x = 3.5988 + -0.3x Solving 2.85 + -0.456x = 3.5988 + -0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.3x' to each side of the equation. 2.85 + -0.456x + 0.3x = 3.5988 + -0.3x + 0.3x Combine like terms: -0.456x + 0.3x = -0.156x 2.85 + -0.156x = 3.5988 + -0.3x + 0.3x Combine like terms: -0.3x + 0.3x = 0.0 2.85 + -0.156x = 3.5988 + 0.0 2.85 + -0.156x = 3.5988 Add '-2.85' to each side of the equation. 2.85 + -2.85 + -0.156x = 3.5988 + -2.85 Combine like terms: 2.85 + -2.85 = 0.00 0.00 + -0.156x = 3.5988 + -2.85 -0.156x = 3.5988 + -2.85 Combine like terms: 3.5988 + -2.85 = 0.7488 -0.156x = 0.7488 Divide each side by '-0.156'. x = -4.8 Simplifying x = -4.8
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