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Simplifying 4x + 7 = 5(2x + -4) + 8 Reorder the terms: 7 + 4x = 5(2x + -4) + 8 Reorder the terms: 7 + 4x = 5(-4 + 2x) + 8 7 + 4x = (-4 * 5 + 2x * 5) + 8 7 + 4x = (-20 + 10x) + 8 Reorder the terms: 7 + 4x = -20 + 8 + 10x Combine like terms: -20 + 8 = -12 7 + 4x = -12 + 10x Solving 7 + 4x = -12 + 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 + 4x + -10x = -12 + 10x + -10x Combine like terms: 4x + -10x = -6x 7 + -6x = -12 + 10x + -10x Combine like terms: 10x + -10x = 0 7 + -6x = -12 + 0 7 + -6x = -12 Add '-7' to each side of the equation. 7 + -7 + -6x = -12 + -7 Combine like terms: 7 + -7 = 0 0 + -6x = -12 + -7 -6x = -12 + -7 Combine like terms: -12 + -7 = -19 -6x = -19 Divide each side by '-6'. x = 3.166666667 Simplifying x = 3.166666667
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