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Simplifying 5x(2) + -12 = 3x(2) + 4 Reorder the terms for easier multiplication: 5 * 2x + -12 = 3x(2) + 4 Multiply 5 * 2 10x + -12 = 3x(2) + 4 Reorder the terms: -12 + 10x = 3x(2) + 4 Reorder the terms for easier multiplication: -12 + 10x = 3 * 2x + 4 Multiply 3 * 2 -12 + 10x = 6x + 4 Reorder the terms: -12 + 10x = 4 + 6x Solving -12 + 10x = 4 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -12 + 10x + -6x = 4 + 6x + -6x Combine like terms: 10x + -6x = 4x -12 + 4x = 4 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + 4x = 4 + 0 -12 + 4x = 4 Add '12' to each side of the equation. -12 + 12 + 4x = 4 + 12 Combine like terms: -12 + 12 = 0 0 + 4x = 4 + 12 4x = 4 + 12 Combine like terms: 4 + 12 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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