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Simplifying 5(x + -1) + -16(2x + 3) = 3(2x + -7) + -1x Reorder the terms: 5(-1 + x) + -16(2x + 3) = 3(2x + -7) + -1x (-1 * 5 + x * 5) + -16(2x + 3) = 3(2x + -7) + -1x (-5 + 5x) + -16(2x + 3) = 3(2x + -7) + -1x Reorder the terms: -5 + 5x + -16(3 + 2x) = 3(2x + -7) + -1x -5 + 5x + (3 * -16 + 2x * -16) = 3(2x + -7) + -1x -5 + 5x + (-48 + -32x) = 3(2x + -7) + -1x Reorder the terms: -5 + -48 + 5x + -32x = 3(2x + -7) + -1x Combine like terms: -5 + -48 = -53 -53 + 5x + -32x = 3(2x + -7) + -1x Combine like terms: 5x + -32x = -27x -53 + -27x = 3(2x + -7) + -1x Reorder the terms: -53 + -27x = 3(-7 + 2x) + -1x -53 + -27x = (-7 * 3 + 2x * 3) + -1x -53 + -27x = (-21 + 6x) + -1x Combine like terms: 6x + -1x = 5x -53 + -27x = -21 + 5x Solving -53 + -27x = -21 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -53 + -27x + -5x = -21 + 5x + -5x Combine like terms: -27x + -5x = -32x -53 + -32x = -21 + 5x + -5x Combine like terms: 5x + -5x = 0 -53 + -32x = -21 + 0 -53 + -32x = -21 Add '53' to each side of the equation. -53 + 53 + -32x = -21 + 53 Combine like terms: -53 + 53 = 0 0 + -32x = -21 + 53 -32x = -21 + 53 Combine like terms: -21 + 53 = 32 -32x = 32 Divide each side by '-32'. x = -1 Simplifying x = -1
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