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Simplifying 4(x + -3) + 10 = 6 + -2(2x + -4) Reorder the terms: 4(-3 + x) + 10 = 6 + -2(2x + -4) (-3 * 4 + x * 4) + 10 = 6 + -2(2x + -4) (-12 + 4x) + 10 = 6 + -2(2x + -4) Reorder the terms: -12 + 10 + 4x = 6 + -2(2x + -4) Combine like terms: -12 + 10 = -2 -2 + 4x = 6 + -2(2x + -4) Reorder the terms: -2 + 4x = 6 + -2(-4 + 2x) -2 + 4x = 6 + (-4 * -2 + 2x * -2) -2 + 4x = 6 + (8 + -4x) Combine like terms: 6 + 8 = 14 -2 + 4x = 14 + -4x Solving -2 + 4x = 14 + -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. -2 + 4x + 4x = 14 + -4x + 4x Combine like terms: 4x + 4x = 8x -2 + 8x = 14 + -4x + 4x Combine like terms: -4x + 4x = 0 -2 + 8x = 14 + 0 -2 + 8x = 14 Add '2' to each side of the equation. -2 + 2 + 8x = 14 + 2 Combine like terms: -2 + 2 = 0 0 + 8x = 14 + 2 8x = 14 + 2 Combine like terms: 14 + 2 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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