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Simplifying 0.33(3x + -12) + 11 = 1 + 1.5x Reorder the terms: 0.33(-12 + 3x) + 11 = 1 + 1.5x (-12 * 0.33 + 3x * 0.33) + 11 = 1 + 1.5x (-3.96 + 0.99x) + 11 = 1 + 1.5x Reorder the terms: -3.96 + 11 + 0.99x = 1 + 1.5x Combine like terms: -3.96 + 11 = 7.04 7.04 + 0.99x = 1 + 1.5x Solving 7.04 + 0.99x = 1 + 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. 7.04 + 0.99x + -1.5x = 1 + 1.5x + -1.5x Combine like terms: 0.99x + -1.5x = -0.51x 7.04 + -0.51x = 1 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 7.04 + -0.51x = 1 + 0.0 7.04 + -0.51x = 1 Add '-7.04' to each side of the equation. 7.04 + -7.04 + -0.51x = 1 + -7.04 Combine like terms: 7.04 + -7.04 = 0.00 0.00 + -0.51x = 1 + -7.04 -0.51x = 1 + -7.04 Combine like terms: 1 + -7.04 = -6.04 -0.51x = -6.04 Divide each side by '-0.51'. x = 11.84313725 Simplifying x = 11.84313725
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