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Simplifying x + -50 = 4(2x + 3) + -6 Reorder the terms: -50 + x = 4(2x + 3) + -6 Reorder the terms: -50 + x = 4(3 + 2x) + -6 -50 + x = (3 * 4 + 2x * 4) + -6 -50 + x = (12 + 8x) + -6 Reorder the terms: -50 + x = 12 + -6 + 8x Combine like terms: 12 + -6 = 6 -50 + x = 6 + 8x Solving -50 + x = 6 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -50 + x + -8x = 6 + 8x + -8x Combine like terms: x + -8x = -7x -50 + -7x = 6 + 8x + -8x Combine like terms: 8x + -8x = 0 -50 + -7x = 6 + 0 -50 + -7x = 6 Add '50' to each side of the equation. -50 + 50 + -7x = 6 + 50 Combine like terms: -50 + 50 = 0 0 + -7x = 6 + 50 -7x = 6 + 50 Combine like terms: 6 + 50 = 56 -7x = 56 Divide each side by '-7'. x = -8 Simplifying x = -8
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