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Simplifying 5(8 + -2x) = 6(4x + -7) + 14 (8 * 5 + -2x * 5) = 6(4x + -7) + 14 (40 + -10x) = 6(4x + -7) + 14 Reorder the terms: 40 + -10x = 6(-7 + 4x) + 14 40 + -10x = (-7 * 6 + 4x * 6) + 14 40 + -10x = (-42 + 24x) + 14 Reorder the terms: 40 + -10x = -42 + 14 + 24x Combine like terms: -42 + 14 = -28 40 + -10x = -28 + 24x Solving 40 + -10x = -28 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 40 + -10x + -24x = -28 + 24x + -24x Combine like terms: -10x + -24x = -34x 40 + -34x = -28 + 24x + -24x Combine like terms: 24x + -24x = 0 40 + -34x = -28 + 0 40 + -34x = -28 Add '-40' to each side of the equation. 40 + -40 + -34x = -28 + -40 Combine like terms: 40 + -40 = 0 0 + -34x = -28 + -40 -34x = -28 + -40 Combine like terms: -28 + -40 = -68 -34x = -68 Divide each side by '-34'. x = 2 Simplifying x = 2
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