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Simplifying 3.2x + 0.92 = 0.759 + -1.4(0.5x + 3.42) Reorder the terms: 0.92 + 3.2x = 0.759 + -1.4(0.5x + 3.42) Reorder the terms: 0.92 + 3.2x = 0.759 + -1.4(3.42 + 0.5x) 0.92 + 3.2x = 0.759 + (3.42 * -1.4 + 0.5x * -1.4) 0.92 + 3.2x = 0.759 + (-4.788 + -0.7x) Combine like terms: 0.759 + -4.788 = -4.029 0.92 + 3.2x = -4.029 + -0.7x Solving 0.92 + 3.2x = -4.029 + -0.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.7x' to each side of the equation. 0.92 + 3.2x + 0.7x = -4.029 + -0.7x + 0.7x Combine like terms: 3.2x + 0.7x = 3.9x 0.92 + 3.9x = -4.029 + -0.7x + 0.7x Combine like terms: -0.7x + 0.7x = 0.0 0.92 + 3.9x = -4.029 + 0.0 0.92 + 3.9x = -4.029 Add '-0.92' to each side of the equation. 0.92 + -0.92 + 3.9x = -4.029 + -0.92 Combine like terms: 0.92 + -0.92 = 0.00 0.00 + 3.9x = -4.029 + -0.92 3.9x = -4.029 + -0.92 Combine like terms: -4.029 + -0.92 = -4.949 3.9x = -4.949 Divide each side by '3.9'. x = -1.268974359 Simplifying x = -1.268974359
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