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Simplifying 5x + -16 = 3(x + -7) + 3(4 + -3x) Reorder the terms: -16 + 5x = 3(x + -7) + 3(4 + -3x) Reorder the terms: -16 + 5x = 3(-7 + x) + 3(4 + -3x) -16 + 5x = (-7 * 3 + x * 3) + 3(4 + -3x) -16 + 5x = (-21 + 3x) + 3(4 + -3x) -16 + 5x = -21 + 3x + (4 * 3 + -3x * 3) -16 + 5x = -21 + 3x + (12 + -9x) Reorder the terms: -16 + 5x = -21 + 12 + 3x + -9x Combine like terms: -21 + 12 = -9 -16 + 5x = -9 + 3x + -9x Combine like terms: 3x + -9x = -6x -16 + 5x = -9 + -6x Solving -16 + 5x = -9 + -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. -16 + 5x + 6x = -9 + -6x + 6x Combine like terms: 5x + 6x = 11x -16 + 11x = -9 + -6x + 6x Combine like terms: -6x + 6x = 0 -16 + 11x = -9 + 0 -16 + 11x = -9 Add '16' to each side of the equation. -16 + 16 + 11x = -9 + 16 Combine like terms: -16 + 16 = 0 0 + 11x = -9 + 16 11x = -9 + 16 Combine like terms: -9 + 16 = 7 11x = 7 Divide each side by '11'. x = 0.6363636364 Simplifying x = 0.6363636364
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