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Simplifying 6 + -4(x + 3) = 2(x + -15) Reorder the terms: 6 + -4(3 + x) = 2(x + -15) 6 + (3 * -4 + x * -4) = 2(x + -15) 6 + (-12 + -4x) = 2(x + -15) Combine like terms: 6 + -12 = -6 -6 + -4x = 2(x + -15) Reorder the terms: -6 + -4x = 2(-15 + x) -6 + -4x = (-15 * 2 + x * 2) -6 + -4x = (-30 + 2x) Solving -6 + -4x = -30 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -6 + -4x + -2x = -30 + 2x + -2x Combine like terms: -4x + -2x = -6x -6 + -6x = -30 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + -6x = -30 + 0 -6 + -6x = -30 Add '6' to each side of the equation. -6 + 6 + -6x = -30 + 6 Combine like terms: -6 + 6 = 0 0 + -6x = -30 + 6 -6x = -30 + 6 Combine like terms: -30 + 6 = -24 -6x = -24 Divide each side by '-6'. x = 4 Simplifying x = 4
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