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Simplifying 5(2x + 1) = 4(x + -7) Reorder the terms: 5(1 + 2x) = 4(x + -7) (1 * 5 + 2x * 5) = 4(x + -7) (5 + 10x) = 4(x + -7) Reorder the terms: 5 + 10x = 4(-7 + x) 5 + 10x = (-7 * 4 + x * 4) 5 + 10x = (-28 + 4x) Solving 5 + 10x = -28 + 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. 5 + 10x + -4x = -28 + 4x + -4x Combine like terms: 10x + -4x = 6x 5 + 6x = -28 + 4x + -4x Combine like terms: 4x + -4x = 0 5 + 6x = -28 + 0 5 + 6x = -28 Add '-5' to each side of the equation. 5 + -5 + 6x = -28 + -5 Combine like terms: 5 + -5 = 0 0 + 6x = -28 + -5 6x = -28 + -5 Combine like terms: -28 + -5 = -33 6x = -33 Divide each side by '6'. x = -5.5 Simplifying x = -5.5
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