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Simplifying 5(2x + 6) = 4(x + -3) Reorder the terms: 5(6 + 2x) = 4(x + -3) (6 * 5 + 2x * 5) = 4(x + -3) (30 + 10x) = 4(x + -3) Reorder the terms: 30 + 10x = 4(-3 + x) 30 + 10x = (-3 * 4 + x * 4) 30 + 10x = (-12 + 4x) Solving 30 + 10x = -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. 30 + 10x + -4x = -12 + 4x + -4x Combine like terms: 10x + -4x = 6x 30 + 6x = -12 + 4x + -4x Combine like terms: 4x + -4x = 0 30 + 6x = -12 + 0 30 + 6x = -12 Add '-30' to each side of the equation. 30 + -30 + 6x = -12 + -30 Combine like terms: 30 + -30 = 0 0 + 6x = -12 + -30 6x = -12 + -30 Combine like terms: -12 + -30 = -42 6x = -42 Divide each side by '6'. x = -7 Simplifying x = -7
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