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Simplifying 4(x + 3) + -3x = 7x + -9 Reorder the terms: 4(3 + x) + -3x = 7x + -9 (3 * 4 + x * 4) + -3x = 7x + -9 (12 + 4x) + -3x = 7x + -9 Combine like terms: 4x + -3x = 1x 12 + 1x = 7x + -9 Reorder the terms: 12 + 1x = -9 + 7x Solving 12 + 1x = -9 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 12 + 1x + -7x = -9 + 7x + -7x Combine like terms: 1x + -7x = -6x 12 + -6x = -9 + 7x + -7x Combine like terms: 7x + -7x = 0 12 + -6x = -9 + 0 12 + -6x = -9 Add '-12' to each side of the equation. 12 + -12 + -6x = -9 + -12 Combine like terms: 12 + -12 = 0 0 + -6x = -9 + -12 -6x = -9 + -12 Combine like terms: -9 + -12 = -21 -6x = -21 Divide each side by '-6'. x = 3.5 Simplifying x = 3.5
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