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Simplifying 8(x + 6) = 13x + 10 Reorder the terms: 8(6 + x) = 13x + 10 (6 * 8 + x * 8) = 13x + 10 (48 + 8x) = 13x + 10 Reorder the terms: 48 + 8x = 10 + 13x Solving 48 + 8x = 10 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 48 + 8x + -13x = 10 + 13x + -13x Combine like terms: 8x + -13x = -5x 48 + -5x = 10 + 13x + -13x Combine like terms: 13x + -13x = 0 48 + -5x = 10 + 0 48 + -5x = 10 Add '-48' to each side of the equation. 48 + -48 + -5x = 10 + -48 Combine like terms: 48 + -48 = 0 0 + -5x = 10 + -48 -5x = 10 + -48 Combine like terms: 10 + -48 = -38 -5x = -38 Divide each side by '-5'. x = 7.6 Simplifying x = 7.6
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