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Simplifying 1.4(x + -0.2) + 1.7x = 0.7(x + -1.4) * 2.38 Reorder the terms: 1.4(-0.2 + x) + 1.7x = 0.7(x + -1.4) * 2.38 (-0.2 * 1.4 + x * 1.4) + 1.7x = 0.7(x + -1.4) * 2.38 (-0.28 + 1.4x) + 1.7x = 0.7(x + -1.4) * 2.38 Combine like terms: 1.4x + 1.7x = 3.1x -0.28 + 3.1x = 0.7(x + -1.4) * 2.38 Reorder the terms: -0.28 + 3.1x = 0.7(-1.4 + x) * 2.38 Reorder the terms for easier multiplication: -0.28 + 3.1x = 0.7 * 2.38(-1.4 + x) Multiply 0.7 * 2.38 -0.28 + 3.1x = 1.666(-1.4 + x) -0.28 + 3.1x = (-1.4 * 1.666 + x * 1.666) -0.28 + 3.1x = (-2.3324 + 1.666x) Solving -0.28 + 3.1x = -2.3324 + 1.666x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.666x' to each side of the equation. -0.28 + 3.1x + -1.666x = -2.3324 + 1.666x + -1.666x Combine like terms: 3.1x + -1.666x = 1.434x -0.28 + 1.434x = -2.3324 + 1.666x + -1.666x Combine like terms: 1.666x + -1.666x = 0.000 -0.28 + 1.434x = -2.3324 + 0.000 -0.28 + 1.434x = -2.3324 Add '0.28' to each side of the equation. -0.28 + 0.28 + 1.434x = -2.3324 + 0.28 Combine like terms: -0.28 + 0.28 = 0.00 0.00 + 1.434x = -2.3324 + 0.28 1.434x = -2.3324 + 0.28 Combine like terms: -2.3324 + 0.28 = -2.0524 1.434x = -2.0524 Divide each side by '1.434'. x = -1.431241283 Simplifying x = -1.431241283
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