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Simplifying -6(x + -3) + 22 = 5(x + -16) + 10 Reorder the terms: -6(-3 + x) + 22 = 5(x + -16) + 10 (-3 * -6 + x * -6) + 22 = 5(x + -16) + 10 (18 + -6x) + 22 = 5(x + -16) + 10 Reorder the terms: 18 + 22 + -6x = 5(x + -16) + 10 Combine like terms: 18 + 22 = 40 40 + -6x = 5(x + -16) + 10 Reorder the terms: 40 + -6x = 5(-16 + x) + 10 40 + -6x = (-16 * 5 + x * 5) + 10 40 + -6x = (-80 + 5x) + 10 Reorder the terms: 40 + -6x = -80 + 10 + 5x Combine like terms: -80 + 10 = -70 40 + -6x = -70 + 5x Solving 40 + -6x = -70 + 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. 40 + -6x + -5x = -70 + 5x + -5x Combine like terms: -6x + -5x = -11x 40 + -11x = -70 + 5x + -5x Combine like terms: 5x + -5x = 0 40 + -11x = -70 + 0 40 + -11x = -70 Add '-40' to each side of the equation. 40 + -40 + -11x = -70 + -40 Combine like terms: 40 + -40 = 0 0 + -11x = -70 + -40 -11x = -70 + -40 Combine like terms: -70 + -40 = -110 -11x = -110 Divide each side by '-11'. x = 10 Simplifying x = 10
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