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Simplifying 4(2x + -1) + -50 = 6(x + -2) Reorder the terms: 4(-1 + 2x) + -50 = 6(x + -2) (-1 * 4 + 2x * 4) + -50 = 6(x + -2) (-4 + 8x) + -50 = 6(x + -2) Reorder the terms: -4 + -50 + 8x = 6(x + -2) Combine like terms: -4 + -50 = -54 -54 + 8x = 6(x + -2) Reorder the terms: -54 + 8x = 6(-2 + x) -54 + 8x = (-2 * 6 + x * 6) -54 + 8x = (-12 + 6x) Solving -54 + 8x = -12 + 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. -54 + 8x + -6x = -12 + 6x + -6x Combine like terms: 8x + -6x = 2x -54 + 2x = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 -54 + 2x = -12 + 0 -54 + 2x = -12 Add '54' to each side of the equation. -54 + 54 + 2x = -12 + 54 Combine like terms: -54 + 54 = 0 0 + 2x = -12 + 54 2x = -12 + 54 Combine like terms: -12 + 54 = 42 2x = 42 Divide each side by '2'. x = 21 Simplifying x = 21
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