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Simplifying 10(x + -12) + 6 = 36 + -1(6 + 4x) Reorder the terms: 10(-12 + x) + 6 = 36 + -1(6 + 4x) (-12 * 10 + x * 10) + 6 = 36 + -1(6 + 4x) (-120 + 10x) + 6 = 36 + -1(6 + 4x) Reorder the terms: -120 + 6 + 10x = 36 + -1(6 + 4x) Combine like terms: -120 + 6 = -114 -114 + 10x = 36 + -1(6 + 4x) -114 + 10x = 36 + (6 * -1 + 4x * -1) -114 + 10x = 36 + (-6 + -4x) Combine like terms: 36 + -6 = 30 -114 + 10x = 30 + -4x Solving -114 + 10x = 30 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -114 + 10x + 4x = 30 + -4x + 4x Combine like terms: 10x + 4x = 14x -114 + 14x = 30 + -4x + 4x Combine like terms: -4x + 4x = 0 -114 + 14x = 30 + 0 -114 + 14x = 30 Add '114' to each side of the equation. -114 + 114 + 14x = 30 + 114 Combine like terms: -114 + 114 = 0 0 + 14x = 30 + 114 14x = 30 + 114 Combine like terms: 30 + 114 = 144 14x = 144 Divide each side by '14'. x = 10.28571429 Simplifying x = 10.28571429
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