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Simplifying 34 + -4(2x + 1) = 10x + -4(10 + x) Reorder the terms: 34 + -4(1 + 2x) = 10x + -4(10 + x) 34 + (1 * -4 + 2x * -4) = 10x + -4(10 + x) 34 + (-4 + -8x) = 10x + -4(10 + x) Combine like terms: 34 + -4 = 30 30 + -8x = 10x + -4(10 + x) 30 + -8x = 10x + (10 * -4 + x * -4) 30 + -8x = 10x + (-40 + -4x) Reorder the terms: 30 + -8x = -40 + 10x + -4x Combine like terms: 10x + -4x = 6x 30 + -8x = -40 + 6x Solving 30 + -8x = -40 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 30 + -8x + -6x = -40 + 6x + -6x Combine like terms: -8x + -6x = -14x 30 + -14x = -40 + 6x + -6x Combine like terms: 6x + -6x = 0 30 + -14x = -40 + 0 30 + -14x = -40 Add '-30' to each side of the equation. 30 + -30 + -14x = -40 + -30 Combine like terms: 30 + -30 = 0 0 + -14x = -40 + -30 -14x = -40 + -30 Combine like terms: -40 + -30 = -70 -14x = -70 Divide each side by '-14'. x = 5 Simplifying x = 5
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