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Simplifying 2(6x + -4) + -5(4 + -3x) = 7(3 + -2x) + -1 Reorder the terms: 2(-4 + 6x) + -5(4 + -3x) = 7(3 + -2x) + -1 (-4 * 2 + 6x * 2) + -5(4 + -3x) = 7(3 + -2x) + -1 (-8 + 12x) + -5(4 + -3x) = 7(3 + -2x) + -1 -8 + 12x + (4 * -5 + -3x * -5) = 7(3 + -2x) + -1 -8 + 12x + (-20 + 15x) = 7(3 + -2x) + -1 Reorder the terms: -8 + -20 + 12x + 15x = 7(3 + -2x) + -1 Combine like terms: -8 + -20 = -28 -28 + 12x + 15x = 7(3 + -2x) + -1 Combine like terms: 12x + 15x = 27x -28 + 27x = 7(3 + -2x) + -1 -28 + 27x = (3 * 7 + -2x * 7) + -1 -28 + 27x = (21 + -14x) + -1 Reorder the terms: -28 + 27x = 21 + -1 + -14x Combine like terms: 21 + -1 = 20 -28 + 27x = 20 + -14x Solving -28 + 27x = 20 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. -28 + 27x + 14x = 20 + -14x + 14x Combine like terms: 27x + 14x = 41x -28 + 41x = 20 + -14x + 14x Combine like terms: -14x + 14x = 0 -28 + 41x = 20 + 0 -28 + 41x = 20 Add '28' to each side of the equation. -28 + 28 + 41x = 20 + 28 Combine like terms: -28 + 28 = 0 0 + 41x = 20 + 28 41x = 20 + 28 Combine like terms: 20 + 28 = 48 41x = 48 Divide each side by '41'. x = 1.170731707 Simplifying x = 1.170731707
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