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Simplifying 0.33(x + -3) = 4x + -3(x + -1) + 2.6 Reorder the terms: 0.33(-3 + x) = 4x + -3(x + -1) + 2.6 (-3 * 0.33 + x * 0.33) = 4x + -3(x + -1) + 2.6 (-0.99 + 0.33x) = 4x + -3(x + -1) + 2.6 Reorder the terms: -0.99 + 0.33x = 4x + -3(-1 + x) + 2.6 -0.99 + 0.33x = 4x + (-1 * -3 + x * -3) + 2.6 -0.99 + 0.33x = 4x + (3 + -3x) + 2.6 Reorder the terms: -0.99 + 0.33x = 3 + 2.6 + 4x + -3x Combine like terms: 3 + 2.6 = 5.6 -0.99 + 0.33x = 5.6 + 4x + -3x Combine like terms: 4x + -3x = 1x -0.99 + 0.33x = 5.6 + 1x Solving -0.99 + 0.33x = 5.6 + 1x 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. -0.99 + 0.33x + -1x = 5.6 + 1x + -1x Combine like terms: 0.33x + -1x = -0.67x -0.99 + -0.67x = 5.6 + 1x + -1x Combine like terms: 1x + -1x = 0 -0.99 + -0.67x = 5.6 + 0 -0.99 + -0.67x = 5.6 Add '0.99' to each side of the equation. -0.99 + 0.99 + -0.67x = 5.6 + 0.99 Combine like terms: -0.99 + 0.99 = 0.00 0.00 + -0.67x = 5.6 + 0.99 -0.67x = 5.6 + 0.99 Combine like terms: 5.6 + 0.99 = 6.59 -0.67x = 6.59 Divide each side by '-0.67'. x = -9.835820896 Simplifying x = -9.835820896
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