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Simplifying 3(10x + 4) = 8(3x + 6) Reorder the terms: 3(4 + 10x) = 8(3x + 6) (4 * 3 + 10x * 3) = 8(3x + 6) (12 + 30x) = 8(3x + 6) Reorder the terms: 12 + 30x = 8(6 + 3x) 12 + 30x = (6 * 8 + 3x * 8) 12 + 30x = (48 + 24x) Solving 12 + 30x = 48 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 12 + 30x + -24x = 48 + 24x + -24x Combine like terms: 30x + -24x = 6x 12 + 6x = 48 + 24x + -24x Combine like terms: 24x + -24x = 0 12 + 6x = 48 + 0 12 + 6x = 48 Add '-12' to each side of the equation. 12 + -12 + 6x = 48 + -12 Combine like terms: 12 + -12 = 0 0 + 6x = 48 + -12 6x = 48 + -12 Combine like terms: 48 + -12 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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