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Simplifying 10 + 4x = 15(x + -6) + 33 Reorder the terms: 10 + 4x = 15(-6 + x) + 33 10 + 4x = (-6 * 15 + x * 15) + 33 10 + 4x = (-90 + 15x) + 33 Reorder the terms: 10 + 4x = -90 + 33 + 15x Combine like terms: -90 + 33 = -57 10 + 4x = -57 + 15x Solving 10 + 4x = -57 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 10 + 4x + -15x = -57 + 15x + -15x Combine like terms: 4x + -15x = -11x 10 + -11x = -57 + 15x + -15x Combine like terms: 15x + -15x = 0 10 + -11x = -57 + 0 10 + -11x = -57 Add '-10' to each side of the equation. 10 + -10 + -11x = -57 + -10 Combine like terms: 10 + -10 = 0 0 + -11x = -57 + -10 -11x = -57 + -10 Combine like terms: -57 + -10 = -67 -11x = -67 Divide each side by '-11'. x = 6.090909091 Simplifying x = 6.090909091
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