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Simplifying 3(x + 1) + -5 = 0.14287(21x + -14) Reorder the terms: 3(1 + x) + -5 = 0.14287(21x + -14) (1 * 3 + x * 3) + -5 = 0.14287(21x + -14) (3 + 3x) + -5 = 0.14287(21x + -14) Reorder the terms: 3 + -5 + 3x = 0.14287(21x + -14) Combine like terms: 3 + -5 = -2 -2 + 3x = 0.14287(21x + -14) Reorder the terms: -2 + 3x = 0.14287(-14 + 21x) -2 + 3x = (-14 * 0.14287 + 21x * 0.14287) -2 + 3x = (-2.00018 + 3.00027x) Solving -2 + 3x = -2.00018 + 3.00027x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.00027x' to each side of the equation. -2 + 3x + -3.00027x = -2.00018 + 3.00027x + -3.00027x Combine like terms: 3x + -3.00027x = -0.00027x -2 + -0.00027x = -2.00018 + 3.00027x + -3.00027x Combine like terms: 3.00027x + -3.00027x = 0.00000 -2 + -0.00027x = -2.00018 + 0.00000 -2 + -0.00027x = -2.00018 Add '2' to each side of the equation. -2 + 2 + -0.00027x = -2.00018 + 2 Combine like terms: -2 + 2 = 0 0 + -0.00027x = -2.00018 + 2 -0.00027x = -2.00018 + 2 Combine like terms: -2.00018 + 2 = -0.00018 -0.00027x = -0.00018 Divide each side by '-0.00027'. x = 0.6666666667 Simplifying x = 0.6666666667
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