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Simplifying 4x + -2(-3x + -7) + -10 = -6x + -4 Reorder the terms: 4x + -2(-7 + -3x) + -10 = -6x + -4 4x + (-7 * -2 + -3x * -2) + -10 = -6x + -4 4x + (14 + 6x) + -10 = -6x + -4 Reorder the terms: 14 + -10 + 4x + 6x = -6x + -4 Combine like terms: 14 + -10 = 4 4 + 4x + 6x = -6x + -4 Combine like terms: 4x + 6x = 10x 4 + 10x = -6x + -4 Reorder the terms: 4 + 10x = -4 + -6x Solving 4 + 10x = -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. 4 + 10x + 6x = -4 + -6x + 6x Combine like terms: 10x + 6x = 16x 4 + 16x = -4 + -6x + 6x Combine like terms: -6x + 6x = 0 4 + 16x = -4 + 0 4 + 16x = -4 Add '-4' to each side of the equation. 4 + -4 + 16x = -4 + -4 Combine like terms: 4 + -4 = 0 0 + 16x = -4 + -4 16x = -4 + -4 Combine like terms: -4 + -4 = -8 16x = -8 Divide each side by '16'. x = -0.5 Simplifying x = -0.5
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