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Simplifying 4 + -2(8x + 3) + 5(-6 + 6x) = 7x + 5(x + 1) Reorder the terms: 4 + -2(3 + 8x) + 5(-6 + 6x) = 7x + 5(x + 1) 4 + (3 * -2 + 8x * -2) + 5(-6 + 6x) = 7x + 5(x + 1) 4 + (-6 + -16x) + 5(-6 + 6x) = 7x + 5(x + 1) 4 + -6 + -16x + (-6 * 5 + 6x * 5) = 7x + 5(x + 1) 4 + -6 + -16x + (-30 + 30x) = 7x + 5(x + 1) Reorder the terms: 4 + -6 + -30 + -16x + 30x = 7x + 5(x + 1) Combine like terms: 4 + -6 = -2 -2 + -30 + -16x + 30x = 7x + 5(x + 1) Combine like terms: -2 + -30 = -32 -32 + -16x + 30x = 7x + 5(x + 1) Combine like terms: -16x + 30x = 14x -32 + 14x = 7x + 5(x + 1) Reorder the terms: -32 + 14x = 7x + 5(1 + x) -32 + 14x = 7x + (1 * 5 + x * 5) -32 + 14x = 7x + (5 + 5x) Reorder the terms: -32 + 14x = 5 + 7x + 5x Combine like terms: 7x + 5x = 12x -32 + 14x = 5 + 12x Solving -32 + 14x = 5 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -32 + 14x + -12x = 5 + 12x + -12x Combine like terms: 14x + -12x = 2x -32 + 2x = 5 + 12x + -12x Combine like terms: 12x + -12x = 0 -32 + 2x = 5 + 0 -32 + 2x = 5 Add '32' to each side of the equation. -32 + 32 + 2x = 5 + 32 Combine like terms: -32 + 32 = 0 0 + 2x = 5 + 32 2x = 5 + 32 Combine like terms: 5 + 32 = 37 2x = 37 Divide each side by '2'. x = 18.5 Simplifying x = 18.5
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