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Simplifying 2x + 4 = 6(x + -2) + -3(8 + -2x) Reorder the terms: 4 + 2x = 6(x + -2) + -3(8 + -2x) Reorder the terms: 4 + 2x = 6(-2 + x) + -3(8 + -2x) 4 + 2x = (-2 * 6 + x * 6) + -3(8 + -2x) 4 + 2x = (-12 + 6x) + -3(8 + -2x) 4 + 2x = -12 + 6x + (8 * -3 + -2x * -3) 4 + 2x = -12 + 6x + (-24 + 6x) Reorder the terms: 4 + 2x = -12 + -24 + 6x + 6x Combine like terms: -12 + -24 = -36 4 + 2x = -36 + 6x + 6x Combine like terms: 6x + 6x = 12x 4 + 2x = -36 + 12x Solving 4 + 2x = -36 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 4 + 2x + -12x = -36 + 12x + -12x Combine like terms: 2x + -12x = -10x 4 + -10x = -36 + 12x + -12x Combine like terms: 12x + -12x = 0 4 + -10x = -36 + 0 4 + -10x = -36 Add '-4' to each side of the equation. 4 + -4 + -10x = -36 + -4 Combine like terms: 4 + -4 = 0 0 + -10x = -36 + -4 -10x = -36 + -4 Combine like terms: -36 + -4 = -40 -10x = -40 Divide each side by '-10'. x = 4 Simplifying x = 4
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