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Simplifying 6x + -15 + 3x + -6 = 8x + -42 + 4x + -21 Reorder the terms: -15 + -6 + 6x + 3x = 8x + -42 + 4x + -21 Combine like terms: -15 + -6 = -21 -21 + 6x + 3x = 8x + -42 + 4x + -21 Combine like terms: 6x + 3x = 9x -21 + 9x = 8x + -42 + 4x + -21 Reorder the terms: -21 + 9x = -42 + -21 + 8x + 4x Combine like terms: -42 + -21 = -63 -21 + 9x = -63 + 8x + 4x Combine like terms: 8x + 4x = 12x -21 + 9x = -63 + 12x Solving -21 + 9x = -63 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -21 + 9x + -12x = -63 + 12x + -12x Combine like terms: 9x + -12x = -3x -21 + -3x = -63 + 12x + -12x Combine like terms: 12x + -12x = 0 -21 + -3x = -63 + 0 -21 + -3x = -63 Add '21' to each side of the equation. -21 + 21 + -3x = -63 + 21 Combine like terms: -21 + 21 = 0 0 + -3x = -63 + 21 -3x = -63 + 21 Combine like terms: -63 + 21 = -42 -3x = -42 Divide each side by '-3'. x = 14 Simplifying x = 14
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