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Simplifying 4x + -2(x + -3) + -3(x + -3(4 + -2x) + 8) = -1 Reorder the terms: 4x + -2(-3 + x) + -3(x + -3(4 + -2x) + 8) = -1 4x + (-3 * -2 + x * -2) + -3(x + -3(4 + -2x) + 8) = -1 4x + (6 + -2x) + -3(x + -3(4 + -2x) + 8) = -1 4x + 6 + -2x + -3(x + (4 * -3 + -2x * -3) + 8) = -1 4x + 6 + -2x + -3(x + (-12 + 6x) + 8) = -1 Reorder the terms: 4x + 6 + -2x + -3(-12 + 8 + x + 6x) = -1 Combine like terms: -12 + 8 = -4 4x + 6 + -2x + -3(-4 + x + 6x) = -1 Combine like terms: x + 6x = 7x 4x + 6 + -2x + -3(-4 + 7x) = -1 4x + 6 + -2x + (-4 * -3 + 7x * -3) = -1 4x + 6 + -2x + (12 + -21x) = -1 Reorder the terms: 6 + 12 + 4x + -2x + -21x = -1 Combine like terms: 6 + 12 = 18 18 + 4x + -2x + -21x = -1 Combine like terms: 4x + -2x = 2x 18 + 2x + -21x = -1 Combine like terms: 2x + -21x = -19x 18 + -19x = -1 Solving 18 + -19x = -1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -19x = -1 + -18 Combine like terms: 18 + -18 = 0 0 + -19x = -1 + -18 -19x = -1 + -18 Combine like terms: -1 + -18 = -19 -19x = -19 Divide each side by '-19'. x = 1 Simplifying x = 1
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