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Simplifying 0.25(27 + -4x) + 0.1(3x) + 0.01x = 3.3 (27 * 0.25 + -4x * 0.25) + 0.1(3x) + 0.01x = 3.3 (6.75 + -1x) + 0.1(3x) + 0.01x = 3.3 Remove parenthesis around (3x) 6.75 + -1x + 0.1 * 3x + 0.01x = 3.3 Multiply 0.1 * 3 6.75 + -1x + 0.3x + 0.01x = 3.3 Combine like terms: -1x + 0.3x = -0.7x 6.75 + -0.7x + 0.01x = 3.3 Combine like terms: -0.7x + 0.01x = -0.69x 6.75 + -0.69x = 3.3 Solving 6.75 + -0.69x = 3.3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.75' to each side of the equation. 6.75 + -6.75 + -0.69x = 3.3 + -6.75 Combine like terms: 6.75 + -6.75 = 0.00 0.00 + -0.69x = 3.3 + -6.75 -0.69x = 3.3 + -6.75 Combine like terms: 3.3 + -6.75 = -3.45 -0.69x = -3.45 Divide each side by '-0.69'. x = 5 Simplifying x = 5
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