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Simplifying 0.6(4x + 11) = 2(2 + -3x) + 11 Reorder the terms: 0.6(11 + 4x) = 2(2 + -3x) + 11 (11 * 0.6 + 4x * 0.6) = 2(2 + -3x) + 11 (6.6 + 2.4x) = 2(2 + -3x) + 11 6.6 + 2.4x = (2 * 2 + -3x * 2) + 11 6.6 + 2.4x = (4 + -6x) + 11 Reorder the terms: 6.6 + 2.4x = 4 + 11 + -6x Combine like terms: 4 + 11 = 15 6.6 + 2.4x = 15 + -6x Solving 6.6 + 2.4x = 15 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 6.6 + 2.4x + 6x = 15 + -6x + 6x Combine like terms: 2.4x + 6x = 8.4x 6.6 + 8.4x = 15 + -6x + 6x Combine like terms: -6x + 6x = 0 6.6 + 8.4x = 15 + 0 6.6 + 8.4x = 15 Add '-6.6' to each side of the equation. 6.6 + -6.6 + 8.4x = 15 + -6.6 Combine like terms: 6.6 + -6.6 = 0.0 0.0 + 8.4x = 15 + -6.6 8.4x = 15 + -6.6 Combine like terms: 15 + -6.6 = 8.4 8.4x = 8.4 Divide each side by '8.4'. x = 1 Simplifying x = 1
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