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Simplifying 4.14 + -3(2.6x + -5) = 6.9x + -1(x + -1) Reorder the terms: 4.14 + -3(-5 + 2.6x) = 6.9x + -1(x + -1) 4.14 + (-5 * -3 + 2.6x * -3) = 6.9x + -1(x + -1) 4.14 + (15 + -7.8x) = 6.9x + -1(x + -1) Combine like terms: 4.14 + 15 = 19.14 19.14 + -7.8x = 6.9x + -1(x + -1) Reorder the terms: 19.14 + -7.8x = 6.9x + -1(-1 + x) 19.14 + -7.8x = 6.9x + (-1 * -1 + x * -1) 19.14 + -7.8x = 6.9x + (1 + -1x) Reorder the terms: 19.14 + -7.8x = 1 + 6.9x + -1x Combine like terms: 6.9x + -1x = 5.9x 19.14 + -7.8x = 1 + 5.9x Solving 19.14 + -7.8x = 1 + 5.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.9x' to each side of the equation. 19.14 + -7.8x + -5.9x = 1 + 5.9x + -5.9x Combine like terms: -7.8x + -5.9x = -13.7x 19.14 + -13.7x = 1 + 5.9x + -5.9x Combine like terms: 5.9x + -5.9x = 0.0 19.14 + -13.7x = 1 + 0.0 19.14 + -13.7x = 1 Add '-19.14' to each side of the equation. 19.14 + -19.14 + -13.7x = 1 + -19.14 Combine like terms: 19.14 + -19.14 = 0.00 0.00 + -13.7x = 1 + -19.14 -13.7x = 1 + -19.14 Combine like terms: 1 + -19.14 = -18.14 -13.7x = -18.14 Divide each side by '-13.7'. x = 1.324087591 Simplifying x = 1.324087591
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