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Simplifying 4(3x + -3) + -2 = 4(x + -4) + 42 Reorder the terms: 4(-3 + 3x) + -2 = 4(x + -4) + 42 (-3 * 4 + 3x * 4) + -2 = 4(x + -4) + 42 (-12 + 12x) + -2 = 4(x + -4) + 42 Reorder the terms: -12 + -2 + 12x = 4(x + -4) + 42 Combine like terms: -12 + -2 = -14 -14 + 12x = 4(x + -4) + 42 Reorder the terms: -14 + 12x = 4(-4 + x) + 42 -14 + 12x = (-4 * 4 + x * 4) + 42 -14 + 12x = (-16 + 4x) + 42 Reorder the terms: -14 + 12x = -16 + 42 + 4x Combine like terms: -16 + 42 = 26 -14 + 12x = 26 + 4x Solving -14 + 12x = 26 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -14 + 12x + -4x = 26 + 4x + -4x Combine like terms: 12x + -4x = 8x -14 + 8x = 26 + 4x + -4x Combine like terms: 4x + -4x = 0 -14 + 8x = 26 + 0 -14 + 8x = 26 Add '14' to each side of the equation. -14 + 14 + 8x = 26 + 14 Combine like terms: -14 + 14 = 0 0 + 8x = 26 + 14 8x = 26 + 14 Combine like terms: 26 + 14 = 40 8x = 40 Divide each side by '8'. x = 5 Simplifying x = 5
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