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Simplifying 8(x + 6) + -3x = 8(x + 3) + 3x Reorder the terms: 8(6 + x) + -3x = 8(x + 3) + 3x (6 * 8 + x * 8) + -3x = 8(x + 3) + 3x (48 + 8x) + -3x = 8(x + 3) + 3x Combine like terms: 8x + -3x = 5x 48 + 5x = 8(x + 3) + 3x Reorder the terms: 48 + 5x = 8(3 + x) + 3x 48 + 5x = (3 * 8 + x * 8) + 3x 48 + 5x = (24 + 8x) + 3x Combine like terms: 8x + 3x = 11x 48 + 5x = 24 + 11x Solving 48 + 5x = 24 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 48 + 5x + -11x = 24 + 11x + -11x Combine like terms: 5x + -11x = -6x 48 + -6x = 24 + 11x + -11x Combine like terms: 11x + -11x = 0 48 + -6x = 24 + 0 48 + -6x = 24 Add '-48' to each side of the equation. 48 + -48 + -6x = 24 + -48 Combine like terms: 48 + -48 = 0 0 + -6x = 24 + -48 -6x = 24 + -48 Combine like terms: 24 + -48 = -24 -6x = -24 Divide each side by '-6'. x = 4 Simplifying x = 4
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