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Simplifying 6 + -2(x + -3) = 3x + 3(x + -4) Reorder the terms: 6 + -2(-3 + x) = 3x + 3(x + -4) 6 + (-3 * -2 + x * -2) = 3x + 3(x + -4) 6 + (6 + -2x) = 3x + 3(x + -4) Combine like terms: 6 + 6 = 12 12 + -2x = 3x + 3(x + -4) Reorder the terms: 12 + -2x = 3x + 3(-4 + x) 12 + -2x = 3x + (-4 * 3 + x * 3) 12 + -2x = 3x + (-12 + 3x) Reorder the terms: 12 + -2x = -12 + 3x + 3x Combine like terms: 3x + 3x = 6x 12 + -2x = -12 + 6x Solving 12 + -2x = -12 + 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 + -2x + -6x = -12 + 6x + -6x Combine like terms: -2x + -6x = -8x 12 + -8x = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + -8x = -12 + 0 12 + -8x = -12 Add '-12' to each side of the equation. 12 + -12 + -8x = -12 + -12 Combine like terms: 12 + -12 = 0 0 + -8x = -12 + -12 -8x = -12 + -12 Combine like terms: -12 + -12 = -24 -8x = -24 Divide each side by '-8'. x = 3 Simplifying x = 3
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