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Simplifying 3x + 7 = (5x + -4) * 2 Reorder the terms: 7 + 3x = (5x + -4) * 2 Reorder the terms: 7 + 3x = (-4 + 5x) * 2 Reorder the terms for easier multiplication: 7 + 3x = 2(-4 + 5x) 7 + 3x = (-4 * 2 + 5x * 2) 7 + 3x = (-8 + 10x) Solving 7 + 3x = -8 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 7 + 3x + -10x = -8 + 10x + -10x Combine like terms: 3x + -10x = -7x 7 + -7x = -8 + 10x + -10x Combine like terms: 10x + -10x = 0 7 + -7x = -8 + 0 7 + -7x = -8 Add '-7' to each side of the equation. 7 + -7 + -7x = -8 + -7 Combine like terms: 7 + -7 = 0 0 + -7x = -8 + -7 -7x = -8 + -7 Combine like terms: -8 + -7 = -15 -7x = -15 Divide each side by '-7'. x = 2.142857143 Simplifying x = 2.142857143
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