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Simplifying -6 + 4(-7x + -3) = -3(2x + -1) + 7 Reorder the terms: -6 + 4(-3 + -7x) = -3(2x + -1) + 7 -6 + (-3 * 4 + -7x * 4) = -3(2x + -1) + 7 -6 + (-12 + -28x) = -3(2x + -1) + 7 Combine like terms: -6 + -12 = -18 -18 + -28x = -3(2x + -1) + 7 Reorder the terms: -18 + -28x = -3(-1 + 2x) + 7 -18 + -28x = (-1 * -3 + 2x * -3) + 7 -18 + -28x = (3 + -6x) + 7 Reorder the terms: -18 + -28x = 3 + 7 + -6x Combine like terms: 3 + 7 = 10 -18 + -28x = 10 + -6x Solving -18 + -28x = 10 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -18 + -28x + 6x = 10 + -6x + 6x Combine like terms: -28x + 6x = -22x -18 + -22x = 10 + -6x + 6x Combine like terms: -6x + 6x = 0 -18 + -22x = 10 + 0 -18 + -22x = 10 Add '18' to each side of the equation. -18 + 18 + -22x = 10 + 18 Combine like terms: -18 + 18 = 0 0 + -22x = 10 + 18 -22x = 10 + 18 Combine like terms: 10 + 18 = 28 -22x = 28 Divide each side by '-22'. x = -1.272727273 Simplifying x = -1.272727273
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