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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 = -22 8 + 4x = -22 + 6x Solving 8 + 4x = -22 + 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 = -22 + 6x + -6x Combine like terms: 4x + -6x = -2x 8 + -2x = -22 + 6x + -6x Combine like terms: 6x + -6x = 0 8 + -2x = -22 + 0 8 + -2x = -22 Add '-8' to each side of the equation. 8 + -8 + -2x = -22 + -8 Combine like terms: 8 + -8 = 0 0 + -2x = -22 + -8 -2x = -22 + -8 Combine like terms: -22 + -8 = -30 -2x = -30 Divide each side by '-2'. x = 15 Simplifying x = 15
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