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Simplifying 5x + -3(4 + -2x) = 7(x + 1) 5x + (4 * -3 + -2x * -3) = 7(x + 1) 5x + (-12 + 6x) = 7(x + 1) Reorder the terms: -12 + 5x + 6x = 7(x + 1) Combine like terms: 5x + 6x = 11x -12 + 11x = 7(x + 1) Reorder the terms: -12 + 11x = 7(1 + x) -12 + 11x = (1 * 7 + x * 7) -12 + 11x = (7 + 7x) Solving -12 + 11x = 7 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -12 + 11x + -7x = 7 + 7x + -7x Combine like terms: 11x + -7x = 4x -12 + 4x = 7 + 7x + -7x Combine like terms: 7x + -7x = 0 -12 + 4x = 7 + 0 -12 + 4x = 7 Add '12' to each side of the equation. -12 + 12 + 4x = 7 + 12 Combine like terms: -12 + 12 = 0 0 + 4x = 7 + 12 4x = 7 + 12 Combine like terms: 7 + 12 = 19 4x = 19 Divide each side by '4'. x = 4.75 Simplifying x = 4.75
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