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Simplifying 2.9(x + 4.1) + -9.9 = 6(x + 1) + -13 Reorder the terms: 2.9(4.1 + x) + -9.9 = 6(x + 1) + -13 (4.1 * 2.9 + x * 2.9) + -9.9 = 6(x + 1) + -13 (11.89 + 2.9x) + -9.9 = 6(x + 1) + -13 Reorder the terms: 11.89 + -9.9 + 2.9x = 6(x + 1) + -13 Combine like terms: 11.89 + -9.9 = 1.99 1.99 + 2.9x = 6(x + 1) + -13 Reorder the terms: 1.99 + 2.9x = 6(1 + x) + -13 1.99 + 2.9x = (1 * 6 + x * 6) + -13 1.99 + 2.9x = (6 + 6x) + -13 Reorder the terms: 1.99 + 2.9x = 6 + -13 + 6x Combine like terms: 6 + -13 = -7 1.99 + 2.9x = -7 + 6x Solving 1.99 + 2.9x = -7 + 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. 1.99 + 2.9x + -6x = -7 + 6x + -6x Combine like terms: 2.9x + -6x = -3.1x 1.99 + -3.1x = -7 + 6x + -6x Combine like terms: 6x + -6x = 0 1.99 + -3.1x = -7 + 0 1.99 + -3.1x = -7 Add '-1.99' to each side of the equation. 1.99 + -1.99 + -3.1x = -7 + -1.99 Combine like terms: 1.99 + -1.99 = 0.00 0.00 + -3.1x = -7 + -1.99 -3.1x = -7 + -1.99 Combine like terms: -7 + -1.99 = -8.99 -3.1x = -8.99 Divide each side by '-3.1'. x = 2.9 Simplifying x = 2.9
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