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Simplifying 2.1(x + 3) = 4x + -1.74 Reorder the terms: 2.1(3 + x) = 4x + -1.74 (3 * 2.1 + x * 2.1) = 4x + -1.74 (6.3 + 2.1x) = 4x + -1.74 Reorder the terms: 6.3 + 2.1x = -1.74 + 4x Solving 6.3 + 2.1x = -1.74 + 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. 6.3 + 2.1x + -4x = -1.74 + 4x + -4x Combine like terms: 2.1x + -4x = -1.9x 6.3 + -1.9x = -1.74 + 4x + -4x Combine like terms: 4x + -4x = 0 6.3 + -1.9x = -1.74 + 0 6.3 + -1.9x = -1.74 Add '-6.3' to each side of the equation. 6.3 + -6.3 + -1.9x = -1.74 + -6.3 Combine like terms: 6.3 + -6.3 = 0.0 0.0 + -1.9x = -1.74 + -6.3 -1.9x = -1.74 + -6.3 Combine like terms: -1.74 + -6.3 = -8.04 -1.9x = -8.04 Divide each side by '-1.9'. x = 4.231578947 Simplifying x = 4.231578947
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