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Simplifying 0.6(x + -3) + 0.85 = 0.14(x + 3) Reorder the terms: 0.6(-3 + x) + 0.85 = 0.14(x + 3) (-3 * 0.6 + x * 0.6) + 0.85 = 0.14(x + 3) (-1.8 + 0.6x) + 0.85 = 0.14(x + 3) Reorder the terms: -1.8 + 0.85 + 0.6x = 0.14(x + 3) Combine like terms: -1.8 + 0.85 = -0.95 -0.95 + 0.6x = 0.14(x + 3) Reorder the terms: -0.95 + 0.6x = 0.14(3 + x) -0.95 + 0.6x = (3 * 0.14 + x * 0.14) -0.95 + 0.6x = (0.42 + 0.14x) Solving -0.95 + 0.6x = 0.42 + 0.14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.14x' to each side of the equation. -0.95 + 0.6x + -0.14x = 0.42 + 0.14x + -0.14x Combine like terms: 0.6x + -0.14x = 0.46x -0.95 + 0.46x = 0.42 + 0.14x + -0.14x Combine like terms: 0.14x + -0.14x = 0.00 -0.95 + 0.46x = 0.42 + 0.00 -0.95 + 0.46x = 0.42 Add '0.95' to each side of the equation. -0.95 + 0.95 + 0.46x = 0.42 + 0.95 Combine like terms: -0.95 + 0.95 = 0.00 0.00 + 0.46x = 0.42 + 0.95 0.46x = 0.42 + 0.95 Combine like terms: 0.42 + 0.95 = 1.37 0.46x = 1.37 Divide each side by '0.46'. x = 2.97826087 Simplifying x = 2.97826087
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