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Simplifying -7(x + 3) + 3x + 6 = 6x + 6 Reorder the terms: -7(3 + x) + 3x + 6 = 6x + 6 (3 * -7 + x * -7) + 3x + 6 = 6x + 6 (-21 + -7x) + 3x + 6 = 6x + 6 Reorder the terms: -21 + 6 + -7x + 3x = 6x + 6 Combine like terms: -21 + 6 = -15 -15 + -7x + 3x = 6x + 6 Combine like terms: -7x + 3x = -4x -15 + -4x = 6x + 6 Reorder the terms: -15 + -4x = 6 + 6x Solving -15 + -4x = 6 + 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. -15 + -4x + -6x = 6 + 6x + -6x Combine like terms: -4x + -6x = -10x -15 + -10x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 -15 + -10x = 6 + 0 -15 + -10x = 6 Add '15' to each side of the equation. -15 + 15 + -10x = 6 + 15 Combine like terms: -15 + 15 = 0 0 + -10x = 6 + 15 -10x = 6 + 15 Combine like terms: 6 + 15 = 21 -10x = 21 Divide each side by '-10'. x = -2.1 Simplifying x = -2.1
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