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