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Simplifying 0.33(3x + -6) = 4x + 13 Reorder the terms: 0.33(-6 + 3x) = 4x + 13 (-6 * 0.33 + 3x * 0.33) = 4x + 13 (-1.98 + 0.99x) = 4x + 13 Reorder the terms: -1.98 + 0.99x = 13 + 4x Solving -1.98 + 0.99x = 13 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -1.98 + 0.99x + -4x = 13 + 4x + -4x Combine like terms: 0.99x + -4x = -3.01x -1.98 + -3.01x = 13 + 4x + -4x Combine like terms: 4x + -4x = 0 -1.98 + -3.01x = 13 + 0 -1.98 + -3.01x = 13 Add '1.98' to each side of the equation. -1.98 + 1.98 + -3.01x = 13 + 1.98 Combine like terms: -1.98 + 1.98 = 0.00 0.00 + -3.01x = 13 + 1.98 -3.01x = 13 + 1.98 Combine like terms: 13 + 1.98 = 14.98 -3.01x = 14.98 Divide each side by '-3.01'. x = -4.976744186 Simplifying x = -4.976744186
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