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Simplifying 6(x + -2) + 3(2 + x) + -10 = 84 + 4(x + -5) Reorder the terms: 6(-2 + x) + 3(2 + x) + -10 = 84 + 4(x + -5) (-2 * 6 + x * 6) + 3(2 + x) + -10 = 84 + 4(x + -5) (-12 + 6x) + 3(2 + x) + -10 = 84 + 4(x + -5) -12 + 6x + (2 * 3 + x * 3) + -10 = 84 + 4(x + -5) -12 + 6x + (6 + 3x) + -10 = 84 + 4(x + -5) Reorder the terms: -12 + 6 + -10 + 6x + 3x = 84 + 4(x + -5) Combine like terms: -12 + 6 = -6 -6 + -10 + 6x + 3x = 84 + 4(x + -5) Combine like terms: -6 + -10 = -16 -16 + 6x + 3x = 84 + 4(x + -5) Combine like terms: 6x + 3x = 9x -16 + 9x = 84 + 4(x + -5) Reorder the terms: -16 + 9x = 84 + 4(-5 + x) -16 + 9x = 84 + (-5 * 4 + x * 4) -16 + 9x = 84 + (-20 + 4x) Combine like terms: 84 + -20 = 64 -16 + 9x = 64 + 4x Solving -16 + 9x = 64 + 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. -16 + 9x + -4x = 64 + 4x + -4x Combine like terms: 9x + -4x = 5x -16 + 5x = 64 + 4x + -4x Combine like terms: 4x + -4x = 0 -16 + 5x = 64 + 0 -16 + 5x = 64 Add '16' to each side of the equation. -16 + 16 + 5x = 64 + 16 Combine like terms: -16 + 16 = 0 0 + 5x = 64 + 16 5x = 64 + 16 Combine like terms: 64 + 16 = 80 5x = 80 Divide each side by '5'. x = 16 Simplifying x = 16
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