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Simplifying 4(x + -3) + 2 = 4(3x + -6) Reorder the terms: 4(-3 + x) + 2 = 4(3x + -6) (-3 * 4 + x * 4) + 2 = 4(3x + -6) (-12 + 4x) + 2 = 4(3x + -6) Reorder the terms: -12 + 2 + 4x = 4(3x + -6) Combine like terms: -12 + 2 = -10 -10 + 4x = 4(3x + -6) Reorder the terms: -10 + 4x = 4(-6 + 3x) -10 + 4x = (-6 * 4 + 3x * 4) -10 + 4x = (-24 + 12x) Solving -10 + 4x = -24 + 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. -10 + 4x + -12x = -24 + 12x + -12x Combine like terms: 4x + -12x = -8x -10 + -8x = -24 + 12x + -12x Combine like terms: 12x + -12x = 0 -10 + -8x = -24 + 0 -10 + -8x = -24 Add '10' to each side of the equation. -10 + 10 + -8x = -24 + 10 Combine like terms: -10 + 10 = 0 0 + -8x = -24 + 10 -8x = -24 + 10 Combine like terms: -24 + 10 = -14 -8x = -14 Divide each side by '-8'. x = 1.75 Simplifying x = 1.75
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