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Simplifying 3(x + -16) = 36 + -1(6x + -42) Reorder the terms: 3(-16 + x) = 36 + -1(6x + -42) (-16 * 3 + x * 3) = 36 + -1(6x + -42) (-48 + 3x) = 36 + -1(6x + -42) Reorder the terms: -48 + 3x = 36 + -1(-42 + 6x) -48 + 3x = 36 + (-42 * -1 + 6x * -1) -48 + 3x = 36 + (42 + -6x) Combine like terms: 36 + 42 = 78 -48 + 3x = 78 + -6x Solving -48 + 3x = 78 + -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. -48 + 3x + 6x = 78 + -6x + 6x Combine like terms: 3x + 6x = 9x -48 + 9x = 78 + -6x + 6x Combine like terms: -6x + 6x = 0 -48 + 9x = 78 + 0 -48 + 9x = 78 Add '48' to each side of the equation. -48 + 48 + 9x = 78 + 48 Combine like terms: -48 + 48 = 0 0 + 9x = 78 + 48 9x = 78 + 48 Combine like terms: 78 + 48 = 126 9x = 126 Divide each side by '9'. x = 14 Simplifying x = 14
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