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Simplifying 4(x + 3) + 5x = 3(2x + -7) Reorder the terms: 4(3 + x) + 5x = 3(2x + -7) (3 * 4 + x * 4) + 5x = 3(2x + -7) (12 + 4x) + 5x = 3(2x + -7) Combine like terms: 4x + 5x = 9x 12 + 9x = 3(2x + -7) Reorder the terms: 12 + 9x = 3(-7 + 2x) 12 + 9x = (-7 * 3 + 2x * 3) 12 + 9x = (-21 + 6x) Solving 12 + 9x = -21 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 12 + 9x + -6x = -21 + 6x + -6x Combine like terms: 9x + -6x = 3x 12 + 3x = -21 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + 3x = -21 + 0 12 + 3x = -21 Add '-12' to each side of the equation. 12 + -12 + 3x = -21 + -12 Combine like terms: 12 + -12 = 0 0 + 3x = -21 + -12 3x = -21 + -12 Combine like terms: -21 + -12 = -33 3x = -33 Divide each side by '3'. x = -11 Simplifying x = -11
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