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Simplifying 5x + 9 = 4(x + -10) + 6 Reorder the terms: 9 + 5x = 4(x + -10) + 6 Reorder the terms: 9 + 5x = 4(-10 + x) + 6 9 + 5x = (-10 * 4 + x * 4) + 6 9 + 5x = (-40 + 4x) + 6 Reorder the terms: 9 + 5x = -40 + 6 + 4x Combine like terms: -40 + 6 = -34 9 + 5x = -34 + 4x Solving 9 + 5x = -34 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 9 + 5x + -4x = -34 + 4x + -4x Combine like terms: 5x + -4x = 1x 9 + 1x = -34 + 4x + -4x Combine like terms: 4x + -4x = 0 9 + 1x = -34 + 0 9 + 1x = -34 Add '-9' to each side of the equation. 9 + -9 + 1x = -34 + -9 Combine like terms: 9 + -9 = 0 0 + 1x = -34 + -9 1x = -34 + -9 Combine like terms: -34 + -9 = -43 1x = -43 Divide each side by '1'. x = -43 Simplifying x = -43
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