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Simplifying 7 + 6x = -4(x + -5) * 7 Reorder the terms: 7 + 6x = -4(-5 + x) * 7 Reorder the terms for easier multiplication: 7 + 6x = -4 * 7(-5 + x) Multiply -4 * 7 7 + 6x = -28(-5 + x) 7 + 6x = (-5 * -28 + x * -28) 7 + 6x = (140 + -28x) Solving 7 + 6x = 140 + -28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28x' to each side of the equation. 7 + 6x + 28x = 140 + -28x + 28x Combine like terms: 6x + 28x = 34x 7 + 34x = 140 + -28x + 28x Combine like terms: -28x + 28x = 0 7 + 34x = 140 + 0 7 + 34x = 140 Add '-7' to each side of the equation. 7 + -7 + 34x = 140 + -7 Combine like terms: 7 + -7 = 0 0 + 34x = 140 + -7 34x = 140 + -7 Combine like terms: 140 + -7 = 133 34x = 133 Divide each side by '34'. x = 3.911764706 Simplifying x = 3.911764706
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