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