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Simplifying 6(x + 2) + -1x = 4(x + 4) * 7 Reorder the terms: 6(2 + x) + -1x = 4(x + 4) * 7 (2 * 6 + x * 6) + -1x = 4(x + 4) * 7 (12 + 6x) + -1x = 4(x + 4) * 7 Combine like terms: 6x + -1x = 5x 12 + 5x = 4(x + 4) * 7 Reorder the terms: 12 + 5x = 4(4 + x) * 7 Reorder the terms for easier multiplication: 12 + 5x = 4 * 7(4 + x) Multiply 4 * 7 12 + 5x = 28(4 + x) 12 + 5x = (4 * 28 + x * 28) 12 + 5x = (112 + 28x) Solving 12 + 5x = 112 + 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. 12 + 5x + -28x = 112 + 28x + -28x Combine like terms: 5x + -28x = -23x 12 + -23x = 112 + 28x + -28x Combine like terms: 28x + -28x = 0 12 + -23x = 112 + 0 12 + -23x = 112 Add '-12' to each side of the equation. 12 + -12 + -23x = 112 + -12 Combine like terms: 12 + -12 = 0 0 + -23x = 112 + -12 -23x = 112 + -12 Combine like terms: 112 + -12 = 100 -23x = 100 Divide each side by '-23'. x = -4.347826087 Simplifying x = -4.347826087
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