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Simplifying 8(3 + -2x) + -16(1 + -1x) + -3(x + -4) = 20 + -3x (3 * 8 + -2x * 8) + -16(1 + -1x) + -3(x + -4) = 20 + -3x (24 + -16x) + -16(1 + -1x) + -3(x + -4) = 20 + -3x 24 + -16x + (1 * -16 + -1x * -16) + -3(x + -4) = 20 + -3x 24 + -16x + (-16 + 16x) + -3(x + -4) = 20 + -3x Reorder the terms: 24 + -16x + -16 + 16x + -3(-4 + x) = 20 + -3x 24 + -16x + -16 + 16x + (-4 * -3 + x * -3) = 20 + -3x 24 + -16x + -16 + 16x + (12 + -3x) = 20 + -3x Reorder the terms: 24 + -16 + 12 + -16x + 16x + -3x = 20 + -3x Combine like terms: 24 + -16 = 8 8 + 12 + -16x + 16x + -3x = 20 + -3x Combine like terms: 8 + 12 = 20 20 + -16x + 16x + -3x = 20 + -3x Combine like terms: -16x + 16x = 0 20 + 0 + -3x = 20 + -3x 20 + -3x = 20 + -3x Add '-20' to each side of the equation. 20 + -20 + -3x = 20 + -20 + -3x Combine like terms: 20 + -20 = 0 0 + -3x = 20 + -20 + -3x -3x = 20 + -20 + -3x Combine like terms: 20 + -20 = 0 -3x = 0 + -3x -3x = -3x Add '3x' to each side of the equation. -3x + 3x = -3x + 3x Combine like terms: -3x + 3x = 0 0 = -3x + 3x Combine like terms: -3x + 3x = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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