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Simplifying 0.10 + 4x = 5(x + -6) + 33 Reorder the terms: 0.10 + 4x = 5(-6 + x) + 33 0.10 + 4x = (-6 * 5 + x * 5) + 33 0.10 + 4x = (-30 + 5x) + 33 Reorder the terms: 0.10 + 4x = -30 + 33 + 5x Combine like terms: -30 + 33 = 3 0.10 + 4x = 3 + 5x Solving 0.10 + 4x = 3 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 0.10 + 4x + -5x = 3 + 5x + -5x Combine like terms: 4x + -5x = -1x 0.10 + -1x = 3 + 5x + -5x Combine like terms: 5x + -5x = 0 0.10 + -1x = 3 + 0 0.10 + -1x = 3 Add '-0.10' to each side of the equation. 0.10 + -0.10 + -1x = 3 + -0.10 Combine like terms: 0.10 + -0.10 = 0.00 0.00 + -1x = 3 + -0.10 -1x = 3 + -0.10 Combine like terms: 3 + -0.10 = 2.9 -1x = 2.9 Divide each side by '-1'. x = -2.9 Simplifying x = -2.9
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