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Simplifying 0.66(x + -1) + -0.2(x + -3) = x + 1 Reorder the terms: 0.66(-1 + x) + -0.2(x + -3) = x + 1 (-1 * 0.66 + x * 0.66) + -0.2(x + -3) = x + 1 (-0.66 + 0.66x) + -0.2(x + -3) = x + 1 Reorder the terms: -0.66 + 0.66x + -0.2(-3 + x) = x + 1 -0.66 + 0.66x + (-3 * -0.2 + x * -0.2) = x + 1 -0.66 + 0.66x + (0.6 + -0.2x) = x + 1 Reorder the terms: -0.66 + 0.6 + 0.66x + -0.2x = x + 1 Combine like terms: -0.66 + 0.6 = -0.06 -0.06 + 0.66x + -0.2x = x + 1 Combine like terms: 0.66x + -0.2x = 0.46x -0.06 + 0.46x = x + 1 Reorder the terms: -0.06 + 0.46x = 1 + x Solving -0.06 + 0.46x = 1 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -0.06 + 0.46x + -1x = 1 + x + -1x Combine like terms: 0.46x + -1x = -0.54x -0.06 + -0.54x = 1 + x + -1x Combine like terms: x + -1x = 0 -0.06 + -0.54x = 1 + 0 -0.06 + -0.54x = 1 Add '0.06' to each side of the equation. -0.06 + 0.06 + -0.54x = 1 + 0.06 Combine like terms: -0.06 + 0.06 = 0.00 0.00 + -0.54x = 1 + 0.06 -0.54x = 1 + 0.06 Combine like terms: 1 + 0.06 = 1.06 -0.54x = 1.06 Divide each side by '-0.54'. x = -1.962962963 Simplifying x = -1.962962963
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