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Simplifying 4(x + 3) + -6 = 8 + 2(3x + -6) Reorder the terms: 4(3 + x) + -6 = 8 + 2(3x + -6) (3 * 4 + x * 4) + -6 = 8 + 2(3x + -6) (12 + 4x) + -6 = 8 + 2(3x + -6) Reorder the terms: 12 + -6 + 4x = 8 + 2(3x + -6) Combine like terms: 12 + -6 = 6 6 + 4x = 8 + 2(3x + -6) Reorder the terms: 6 + 4x = 8 + 2(-6 + 3x) 6 + 4x = 8 + (-6 * 2 + 3x * 2) 6 + 4x = 8 + (-12 + 6x) Combine like terms: 8 + -12 = -4 6 + 4x = -4 + 6x Solving 6 + 4x = -4 + 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. 6 + 4x + -6x = -4 + 6x + -6x Combine like terms: 4x + -6x = -2x 6 + -2x = -4 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + -2x = -4 + 0 6 + -2x = -4 Add '-6' to each side of the equation. 6 + -6 + -2x = -4 + -6 Combine like terms: 6 + -6 = 0 0 + -2x = -4 + -6 -2x = -4 + -6 Combine like terms: -4 + -6 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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