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Simplifying 4(x + -3) + -6 = -2(-7x + 3) + -2x Reorder the terms: 4(-3 + x) + -6 = -2(-7x + 3) + -2x (-3 * 4 + x * 4) + -6 = -2(-7x + 3) + -2x (-12 + 4x) + -6 = -2(-7x + 3) + -2x Reorder the terms: -12 + -6 + 4x = -2(-7x + 3) + -2x Combine like terms: -12 + -6 = -18 -18 + 4x = -2(-7x + 3) + -2x Reorder the terms: -18 + 4x = -2(3 + -7x) + -2x -18 + 4x = (3 * -2 + -7x * -2) + -2x -18 + 4x = (-6 + 14x) + -2x Combine like terms: 14x + -2x = 12x -18 + 4x = -6 + 12x Solving -18 + 4x = -6 + 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. -18 + 4x + -12x = -6 + 12x + -12x Combine like terms: 4x + -12x = -8x -18 + -8x = -6 + 12x + -12x Combine like terms: 12x + -12x = 0 -18 + -8x = -6 + 0 -18 + -8x = -6 Add '18' to each side of the equation. -18 + 18 + -8x = -6 + 18 Combine like terms: -18 + 18 = 0 0 + -8x = -6 + 18 -8x = -6 + 18 Combine like terms: -6 + 18 = 12 -8x = 12 Divide each side by '-8'. x = -1.5 Simplifying x = -1.5
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