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Simplifying 2(4x + -3x) + 12 = 7x + -5(2x + -7) Combine like terms: 4x + -3x = 1x 2(1x) + 12 = 7x + -5(2x + -7) Remove parenthesis around (1x) 2 * 1x + 12 = 7x + -5(2x + -7) Multiply 2 * 1 2x + 12 = 7x + -5(2x + -7) Reorder the terms: 12 + 2x = 7x + -5(2x + -7) Reorder the terms: 12 + 2x = 7x + -5(-7 + 2x) 12 + 2x = 7x + (-7 * -5 + 2x * -5) 12 + 2x = 7x + (35 + -10x) Reorder the terms: 12 + 2x = 35 + 7x + -10x Combine like terms: 7x + -10x = -3x 12 + 2x = 35 + -3x Solving 12 + 2x = 35 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 12 + 2x + 3x = 35 + -3x + 3x Combine like terms: 2x + 3x = 5x 12 + 5x = 35 + -3x + 3x Combine like terms: -3x + 3x = 0 12 + 5x = 35 + 0 12 + 5x = 35 Add '-12' to each side of the equation. 12 + -12 + 5x = 35 + -12 Combine like terms: 12 + -12 = 0 0 + 5x = 35 + -12 5x = 35 + -12 Combine like terms: 35 + -12 = 23 5x = 23 Divide each side by '5'. x = 4.6 Simplifying x = 4.6
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