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Simplifying 4x + 37 = 4(3x + -3) + 9 Reorder the terms: 37 + 4x = 4(3x + -3) + 9 Reorder the terms: 37 + 4x = 4(-3 + 3x) + 9 37 + 4x = (-3 * 4 + 3x * 4) + 9 37 + 4x = (-12 + 12x) + 9 Reorder the terms: 37 + 4x = -12 + 9 + 12x Combine like terms: -12 + 9 = -3 37 + 4x = -3 + 12x Solving 37 + 4x = -3 + 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. 37 + 4x + -12x = -3 + 12x + -12x Combine like terms: 4x + -12x = -8x 37 + -8x = -3 + 12x + -12x Combine like terms: 12x + -12x = 0 37 + -8x = -3 + 0 37 + -8x = -3 Add '-37' to each side of the equation. 37 + -37 + -8x = -3 + -37 Combine like terms: 37 + -37 = 0 0 + -8x = -3 + -37 -8x = -3 + -37 Combine like terms: -3 + -37 = -40 -8x = -40 Divide each side by '-8'. x = 5 Simplifying x = 5
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