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Simplifying 7(x + -6) + -6 = -7(-3x + 9) + -2x Reorder the terms: 7(-6 + x) + -6 = -7(-3x + 9) + -2x (-6 * 7 + x * 7) + -6 = -7(-3x + 9) + -2x (-42 + 7x) + -6 = -7(-3x + 9) + -2x Reorder the terms: -42 + -6 + 7x = -7(-3x + 9) + -2x Combine like terms: -42 + -6 = -48 -48 + 7x = -7(-3x + 9) + -2x Reorder the terms: -48 + 7x = -7(9 + -3x) + -2x -48 + 7x = (9 * -7 + -3x * -7) + -2x -48 + 7x = (-63 + 21x) + -2x Combine like terms: 21x + -2x = 19x -48 + 7x = -63 + 19x Solving -48 + 7x = -63 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. -48 + 7x + -19x = -63 + 19x + -19x Combine like terms: 7x + -19x = -12x -48 + -12x = -63 + 19x + -19x Combine like terms: 19x + -19x = 0 -48 + -12x = -63 + 0 -48 + -12x = -63 Add '48' to each side of the equation. -48 + 48 + -12x = -63 + 48 Combine like terms: -48 + 48 = 0 0 + -12x = -63 + 48 -12x = -63 + 48 Combine like terms: -63 + 48 = -15 -12x = -15 Divide each side by '-12'. x = 1.25 Simplifying x = 1.25
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