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Simplifying 5x + 19 = 8 + 8(6x + -4) Reorder the terms: 19 + 5x = 8 + 8(6x + -4) Reorder the terms: 19 + 5x = 8 + 8(-4 + 6x) 19 + 5x = 8 + (-4 * 8 + 6x * 8) 19 + 5x = 8 + (-32 + 48x) Combine like terms: 8 + -32 = -24 19 + 5x = -24 + 48x Solving 19 + 5x = -24 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. 19 + 5x + -48x = -24 + 48x + -48x Combine like terms: 5x + -48x = -43x 19 + -43x = -24 + 48x + -48x Combine like terms: 48x + -48x = 0 19 + -43x = -24 + 0 19 + -43x = -24 Add '-19' to each side of the equation. 19 + -19 + -43x = -24 + -19 Combine like terms: 19 + -19 = 0 0 + -43x = -24 + -19 -43x = -24 + -19 Combine like terms: -24 + -19 = -43 -43x = -43 Divide each side by '-43'. x = 1 Simplifying x = 1
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