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Simplifying 5.7(x + 2.3) + -11.7 = 6(x + 2) + -12 Reorder the terms: 5.7(2.3 + x) + -11.7 = 6(x + 2) + -12 (2.3 * 5.7 + x * 5.7) + -11.7 = 6(x + 2) + -12 (13.11 + 5.7x) + -11.7 = 6(x + 2) + -12 Reorder the terms: 13.11 + -11.7 + 5.7x = 6(x + 2) + -12 Combine like terms: 13.11 + -11.7 = 1.41 1.41 + 5.7x = 6(x + 2) + -12 Reorder the terms: 1.41 + 5.7x = 6(2 + x) + -12 1.41 + 5.7x = (2 * 6 + x * 6) + -12 1.41 + 5.7x = (12 + 6x) + -12 Reorder the terms: 1.41 + 5.7x = 12 + -12 + 6x Combine like terms: 12 + -12 = 0 1.41 + 5.7x = 0 + 6x 1.41 + 5.7x = 6x Solving 1.41 + 5.7x = 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. 1.41 + 5.7x + -6x = 6x + -6x Combine like terms: 5.7x + -6x = -0.3x 1.41 + -0.3x = 6x + -6x Combine like terms: 6x + -6x = 0 1.41 + -0.3x = 0 Add '-1.41' to each side of the equation. 1.41 + -1.41 + -0.3x = 0 + -1.41 Combine like terms: 1.41 + -1.41 = 0.00 0.00 + -0.3x = 0 + -1.41 -0.3x = 0 + -1.41 Combine like terms: 0 + -1.41 = -1.41 -0.3x = -1.41 Divide each side by '-0.3'. x = 4.7 Simplifying x = 4.7
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