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Simplifying 8(7 + -3x) + 2 = 4(x + 10) + 1 (7 * 8 + -3x * 8) + 2 = 4(x + 10) + 1 (56 + -24x) + 2 = 4(x + 10) + 1 Reorder the terms: 56 + 2 + -24x = 4(x + 10) + 1 Combine like terms: 56 + 2 = 58 58 + -24x = 4(x + 10) + 1 Reorder the terms: 58 + -24x = 4(10 + x) + 1 58 + -24x = (10 * 4 + x * 4) + 1 58 + -24x = (40 + 4x) + 1 Reorder the terms: 58 + -24x = 40 + 1 + 4x Combine like terms: 40 + 1 = 41 58 + -24x = 41 + 4x Solving 58 + -24x = 41 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 58 + -24x + -4x = 41 + 4x + -4x Combine like terms: -24x + -4x = -28x 58 + -28x = 41 + 4x + -4x Combine like terms: 4x + -4x = 0 58 + -28x = 41 + 0 58 + -28x = 41 Add '-58' to each side of the equation. 58 + -58 + -28x = 41 + -58 Combine like terms: 58 + -58 = 0 0 + -28x = 41 + -58 -28x = 41 + -58 Combine like terms: 41 + -58 = -17 -28x = -17 Divide each side by '-28'. x = 0.6071428571 Simplifying x = 0.6071428571
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