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Simplifying 10 + 4x = 5(x + -6) + 33 Reorder the terms: 10 + 4x = 5(-6 + x) + 33 10 + 4x = (-6 * 5 + x * 5) + 33 10 + 4x = (-30 + 5x) + 33 Reorder the terms: 10 + 4x = -30 + 33 + 5x Combine like terms: -30 + 33 = 3 10 + 4x = 3 + 5x Solving 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. 10 + 4x + -5x = 3 + 5x + -5x Combine like terms: 4x + -5x = -1x 10 + -1x = 3 + 5x + -5x Combine like terms: 5x + -5x = 0 10 + -1x = 3 + 0 10 + -1x = 3 Add '-10' to each side of the equation. 10 + -10 + -1x = 3 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 3 + -10 -1x = 3 + -10 Combine like terms: 3 + -10 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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