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Simplifying -74 = 6x + -4(-1x + 36) Reorder the terms: -74 = 6x + -4(36 + -1x) -74 = 6x + (36 * -4 + -1x * -4) -74 = 6x + (-144 + 4x) Reorder the terms: -74 = -144 + 6x + 4x Combine like terms: 6x + 4x = 10x -74 = -144 + 10x Solving -74 = -144 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -74 + -10x = -144 + 10x + -10x Combine like terms: 10x + -10x = 0 -74 + -10x = -144 + 0 -74 + -10x = -144 Add '74' to each side of the equation. -74 + 74 + -10x = -144 + 74 Combine like terms: -74 + 74 = 0 0 + -10x = -144 + 74 -10x = -144 + 74 Combine like terms: -144 + 74 = -70 -10x = -70 Divide each side by '-10'. x = 7 Simplifying x = 7
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