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Simplifying (4x + -10) + (6x + -6) = 126x + -4x + 12 Reorder the terms: (-10 + 4x) + (6x + -6) = 126x + -4x + 12 Remove parenthesis around (-10 + 4x) -10 + 4x + (6x + -6) = 126x + -4x + 12 Reorder the terms: -10 + 4x + (-6 + 6x) = 126x + -4x + 12 Remove parenthesis around (-6 + 6x) -10 + 4x + -6 + 6x = 126x + -4x + 12 Reorder the terms: -10 + -6 + 4x + 6x = 126x + -4x + 12 Combine like terms: -10 + -6 = -16 -16 + 4x + 6x = 126x + -4x + 12 Combine like terms: 4x + 6x = 10x -16 + 10x = 126x + -4x + 12 Reorder the terms: -16 + 10x = 12 + 126x + -4x Combine like terms: 126x + -4x = 122x -16 + 10x = 12 + 122x Solving -16 + 10x = 12 + 122x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-122x' to each side of the equation. -16 + 10x + -122x = 12 + 122x + -122x Combine like terms: 10x + -122x = -112x -16 + -112x = 12 + 122x + -122x Combine like terms: 122x + -122x = 0 -16 + -112x = 12 + 0 -16 + -112x = 12 Add '16' to each side of the equation. -16 + 16 + -112x = 12 + 16 Combine like terms: -16 + 16 = 0 0 + -112x = 12 + 16 -112x = 12 + 16 Combine like terms: 12 + 16 = 28 -112x = 28 Divide each side by '-112'. x = -0.25 Simplifying x = -0.25
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