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Simplifying 5(6x + -8) + -7 = -19 + 2x Reorder the terms: 5(-8 + 6x) + -7 = -19 + 2x (-8 * 5 + 6x * 5) + -7 = -19 + 2x (-40 + 30x) + -7 = -19 + 2x Reorder the terms: -40 + -7 + 30x = -19 + 2x Combine like terms: -40 + -7 = -47 -47 + 30x = -19 + 2x Solving -47 + 30x = -19 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -47 + 30x + -2x = -19 + 2x + -2x Combine like terms: 30x + -2x = 28x -47 + 28x = -19 + 2x + -2x Combine like terms: 2x + -2x = 0 -47 + 28x = -19 + 0 -47 + 28x = -19 Add '47' to each side of the equation. -47 + 47 + 28x = -19 + 47 Combine like terms: -47 + 47 = 0 0 + 28x = -19 + 47 28x = -19 + 47 Combine like terms: -19 + 47 = 28 28x = 28 Divide each side by '28'. x = 1 Simplifying x = 1
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