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Simplifying 2(15x + -4) = 8(3x + 8) Reorder the terms: 2(-4 + 15x) = 8(3x + 8) (-4 * 2 + 15x * 2) = 8(3x + 8) (-8 + 30x) = 8(3x + 8) Reorder the terms: -8 + 30x = 8(8 + 3x) -8 + 30x = (8 * 8 + 3x * 8) -8 + 30x = (64 + 24x) Solving -8 + 30x = 64 + 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. -8 + 30x + -24x = 64 + 24x + -24x Combine like terms: 30x + -24x = 6x -8 + 6x = 64 + 24x + -24x Combine like terms: 24x + -24x = 0 -8 + 6x = 64 + 0 -8 + 6x = 64 Add '8' to each side of the equation. -8 + 8 + 6x = 64 + 8 Combine like terms: -8 + 8 = 0 0 + 6x = 64 + 8 6x = 64 + 8 Combine like terms: 64 + 8 = 72 6x = 72 Divide each side by '6'. x = 12 Simplifying x = 12
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