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Simplifying 4(x + 3) = 2(3x + -5) + 4 Reorder the terms: 4(3 + x) = 2(3x + -5) + 4 (3 * 4 + x * 4) = 2(3x + -5) + 4 (12 + 4x) = 2(3x + -5) + 4 Reorder the terms: 12 + 4x = 2(-5 + 3x) + 4 12 + 4x = (-5 * 2 + 3x * 2) + 4 12 + 4x = (-10 + 6x) + 4 Reorder the terms: 12 + 4x = -10 + 4 + 6x Combine like terms: -10 + 4 = -6 12 + 4x = -6 + 6x Solving 12 + 4x = -6 + 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 + 4x + -6x = -6 + 6x + -6x Combine like terms: 4x + -6x = -2x 12 + -2x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + -2x = -6 + 0 12 + -2x = -6 Add '-12' to each side of the equation. 12 + -12 + -2x = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -2x = -6 + -12 -2x = -6 + -12 Combine like terms: -6 + -12 = -18 -2x = -18 Divide each side by '-2'. x = 9 Simplifying x = 9
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