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Simplifying 6(x + -7) + 10 = 2(x + -4) Reorder the terms: 6(-7 + x) + 10 = 2(x + -4) (-7 * 6 + x * 6) + 10 = 2(x + -4) (-42 + 6x) + 10 = 2(x + -4) Reorder the terms: -42 + 10 + 6x = 2(x + -4) Combine like terms: -42 + 10 = -32 -32 + 6x = 2(x + -4) Reorder the terms: -32 + 6x = 2(-4 + x) -32 + 6x = (-4 * 2 + x * 2) -32 + 6x = (-8 + 2x) Solving -32 + 6x = -8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -32 + 6x + -2x = -8 + 2x + -2x Combine like terms: 6x + -2x = 4x -32 + 4x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 -32 + 4x = -8 + 0 -32 + 4x = -8 Add '32' to each side of the equation. -32 + 32 + 4x = -8 + 32 Combine like terms: -32 + 32 = 0 0 + 4x = -8 + 32 4x = -8 + 32 Combine like terms: -8 + 32 = 24 4x = 24 Divide each side by '4'. x = 6 Simplifying x = 6
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