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Simplifying 7.4x + 4.1(2x + -4) = -2.3(x + -6) + -21.6 Reorder the terms: 7.4x + 4.1(-4 + 2x) = -2.3(x + -6) + -21.6 7.4x + (-4 * 4.1 + 2x * 4.1) = -2.3(x + -6) + -21.6 7.4x + (-16.4 + 8.2x) = -2.3(x + -6) + -21.6 Reorder the terms: -16.4 + 7.4x + 8.2x = -2.3(x + -6) + -21.6 Combine like terms: 7.4x + 8.2x = 15.6x -16.4 + 15.6x = -2.3(x + -6) + -21.6 Reorder the terms: -16.4 + 15.6x = -2.3(-6 + x) + -21.6 -16.4 + 15.6x = (-6 * -2.3 + x * -2.3) + -21.6 -16.4 + 15.6x = (13.8 + -2.3x) + -21.6 Reorder the terms: -16.4 + 15.6x = 13.8 + -21.6 + -2.3x Combine like terms: 13.8 + -21.6 = -7.8 -16.4 + 15.6x = -7.8 + -2.3x Solving -16.4 + 15.6x = -7.8 + -2.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.3x' to each side of the equation. -16.4 + 15.6x + 2.3x = -7.8 + -2.3x + 2.3x Combine like terms: 15.6x + 2.3x = 17.9x -16.4 + 17.9x = -7.8 + -2.3x + 2.3x Combine like terms: -2.3x + 2.3x = 0.0 -16.4 + 17.9x = -7.8 + 0.0 -16.4 + 17.9x = -7.8 Add '16.4' to each side of the equation. -16.4 + 16.4 + 17.9x = -7.8 + 16.4 Combine like terms: -16.4 + 16.4 = 0.0 0.0 + 17.9x = -7.8 + 16.4 17.9x = -7.8 + 16.4 Combine like terms: -7.8 + 16.4 = 8.6 17.9x = 8.6 Divide each side by '17.9'. x = 0.4804469274 Simplifying x = 0.4804469274
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