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Simplifying 3(2x + -5) + -2(x + 16) = 3(x + -4) + 10 Reorder the terms: 3(-5 + 2x) + -2(x + 16) = 3(x + -4) + 10 (-5 * 3 + 2x * 3) + -2(x + 16) = 3(x + -4) + 10 (-15 + 6x) + -2(x + 16) = 3(x + -4) + 10 Reorder the terms: -15 + 6x + -2(16 + x) = 3(x + -4) + 10 -15 + 6x + (16 * -2 + x * -2) = 3(x + -4) + 10 -15 + 6x + (-32 + -2x) = 3(x + -4) + 10 Reorder the terms: -15 + -32 + 6x + -2x = 3(x + -4) + 10 Combine like terms: -15 + -32 = -47 -47 + 6x + -2x = 3(x + -4) + 10 Combine like terms: 6x + -2x = 4x -47 + 4x = 3(x + -4) + 10 Reorder the terms: -47 + 4x = 3(-4 + x) + 10 -47 + 4x = (-4 * 3 + x * 3) + 10 -47 + 4x = (-12 + 3x) + 10 Reorder the terms: -47 + 4x = -12 + 10 + 3x Combine like terms: -12 + 10 = -2 -47 + 4x = -2 + 3x Solving -47 + 4x = -2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -47 + 4x + -3x = -2 + 3x + -3x Combine like terms: 4x + -3x = 1x -47 + 1x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 -47 + 1x = -2 + 0 -47 + 1x = -2 Add '47' to each side of the equation. -47 + 47 + 1x = -2 + 47 Combine like terms: -47 + 47 = 0 0 + 1x = -2 + 47 1x = -2 + 47 Combine like terms: -2 + 47 = 45 1x = 45 Divide each side by '1'. x = 45 Simplifying x = 45
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