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Simplifying 7 + -2x + -8(4x + -6) = 1 + 3(5x + -2) + -19x Reorder the terms: 7 + -2x + -8(-6 + 4x) = 1 + 3(5x + -2) + -19x 7 + -2x + (-6 * -8 + 4x * -8) = 1 + 3(5x + -2) + -19x 7 + -2x + (48 + -32x) = 1 + 3(5x + -2) + -19x Reorder the terms: 7 + 48 + -2x + -32x = 1 + 3(5x + -2) + -19x Combine like terms: 7 + 48 = 55 55 + -2x + -32x = 1 + 3(5x + -2) + -19x Combine like terms: -2x + -32x = -34x 55 + -34x = 1 + 3(5x + -2) + -19x Reorder the terms: 55 + -34x = 1 + 3(-2 + 5x) + -19x 55 + -34x = 1 + (-2 * 3 + 5x * 3) + -19x 55 + -34x = 1 + (-6 + 15x) + -19x Combine like terms: 1 + -6 = -5 55 + -34x = -5 + 15x + -19x Combine like terms: 15x + -19x = -4x 55 + -34x = -5 + -4x Solving 55 + -34x = -5 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 55 + -34x + 4x = -5 + -4x + 4x Combine like terms: -34x + 4x = -30x 55 + -30x = -5 + -4x + 4x Combine like terms: -4x + 4x = 0 55 + -30x = -5 + 0 55 + -30x = -5 Add '-55' to each side of the equation. 55 + -55 + -30x = -5 + -55 Combine like terms: 55 + -55 = 0 0 + -30x = -5 + -55 -30x = -5 + -55 Combine like terms: -5 + -55 = -60 -30x = -60 Divide each side by '-30'. x = 2 Simplifying x = 2
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