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Simplifying -3(3x + -2) + 5x = 4(x + 3) Reorder the terms: -3(-2 + 3x) + 5x = 4(x + 3) (-2 * -3 + 3x * -3) + 5x = 4(x + 3) (6 + -9x) + 5x = 4(x + 3) Combine like terms: -9x + 5x = -4x 6 + -4x = 4(x + 3) Reorder the terms: 6 + -4x = 4(3 + x) 6 + -4x = (3 * 4 + x * 4) 6 + -4x = (12 + 4x) Solving 6 + -4x = 12 + 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. 6 + -4x + -4x = 12 + 4x + -4x Combine like terms: -4x + -4x = -8x 6 + -8x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + -8x = 12 + 0 6 + -8x = 12 Add '-6' to each side of the equation. 6 + -6 + -8x = 12 + -6 Combine like terms: 6 + -6 = 0 0 + -8x = 12 + -6 -8x = 12 + -6 Combine like terms: 12 + -6 = 6 -8x = 6 Divide each side by '-8'. x = -0.75 Simplifying x = -0.75
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