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Simplifying 4(x + 3) + -1(2x + -1) = 30 + 7x + -1 + 5x Reorder the terms: 4(3 + x) + -1(2x + -1) = 30 + 7x + -1 + 5x (3 * 4 + x * 4) + -1(2x + -1) = 30 + 7x + -1 + 5x (12 + 4x) + -1(2x + -1) = 30 + 7x + -1 + 5x Reorder the terms: 12 + 4x + -1(-1 + 2x) = 30 + 7x + -1 + 5x 12 + 4x + (-1 * -1 + 2x * -1) = 30 + 7x + -1 + 5x 12 + 4x + (1 + -2x) = 30 + 7x + -1 + 5x Reorder the terms: 12 + 1 + 4x + -2x = 30 + 7x + -1 + 5x Combine like terms: 12 + 1 = 13 13 + 4x + -2x = 30 + 7x + -1 + 5x Combine like terms: 4x + -2x = 2x 13 + 2x = 30 + 7x + -1 + 5x Reorder the terms: 13 + 2x = 30 + -1 + 7x + 5x Combine like terms: 30 + -1 = 29 13 + 2x = 29 + 7x + 5x Combine like terms: 7x + 5x = 12x 13 + 2x = 29 + 12x Solving 13 + 2x = 29 + 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. 13 + 2x + -12x = 29 + 12x + -12x Combine like terms: 2x + -12x = -10x 13 + -10x = 29 + 12x + -12x Combine like terms: 12x + -12x = 0 13 + -10x = 29 + 0 13 + -10x = 29 Add '-13' to each side of the equation. 13 + -13 + -10x = 29 + -13 Combine like terms: 13 + -13 = 0 0 + -10x = 29 + -13 -10x = 29 + -13 Combine like terms: 29 + -13 = 16 -10x = 16 Divide each side by '-10'. x = -1.6 Simplifying x = -1.6
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