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Simplifying 4(x + 3) = 0.3(3x + 3) + -6 Reorder the terms: 4(3 + x) = 0.3(3x + 3) + -6 (3 * 4 + x * 4) = 0.3(3x + 3) + -6 (12 + 4x) = 0.3(3x + 3) + -6 Reorder the terms: 12 + 4x = 0.3(3 + 3x) + -6 12 + 4x = (3 * 0.3 + 3x * 0.3) + -6 12 + 4x = (0.9 + 0.9x) + -6 Reorder the terms: 12 + 4x = 0.9 + -6 + 0.9x Combine like terms: 0.9 + -6 = -5.1 12 + 4x = -5.1 + 0.9x Solving 12 + 4x = -5.1 + 0.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.9x' to each side of the equation. 12 + 4x + -0.9x = -5.1 + 0.9x + -0.9x Combine like terms: 4x + -0.9x = 3.1x 12 + 3.1x = -5.1 + 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 12 + 3.1x = -5.1 + 0.0 12 + 3.1x = -5.1 Add '-12' to each side of the equation. 12 + -12 + 3.1x = -5.1 + -12 Combine like terms: 12 + -12 = 0 0 + 3.1x = -5.1 + -12 3.1x = -5.1 + -12 Combine like terms: -5.1 + -12 = -17.1 3.1x = -17.1 Divide each side by '3.1'. x = -5.516129032 Simplifying x = -5.516129032
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