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Simplifying 4x + -3(2 + -5x) = 10(2x + -1) + -1x + 4 4x + (2 * -3 + -5x * -3) = 10(2x + -1) + -1x + 4 4x + (-6 + 15x) = 10(2x + -1) + -1x + 4 Reorder the terms: -6 + 4x + 15x = 10(2x + -1) + -1x + 4 Combine like terms: 4x + 15x = 19x -6 + 19x = 10(2x + -1) + -1x + 4 Reorder the terms: -6 + 19x = 10(-1 + 2x) + -1x + 4 -6 + 19x = (-1 * 10 + 2x * 10) + -1x + 4 -6 + 19x = (-10 + 20x) + -1x + 4 Reorder the terms: -6 + 19x = -10 + 4 + 20x + -1x Combine like terms: -10 + 4 = -6 -6 + 19x = -6 + 20x + -1x Combine like terms: 20x + -1x = 19x -6 + 19x = -6 + 19x Add '6' to each side of the equation. -6 + 6 + 19x = -6 + 6 + 19x Combine like terms: -6 + 6 = 0 0 + 19x = -6 + 6 + 19x 19x = -6 + 6 + 19x Combine like terms: -6 + 6 = 0 19x = 0 + 19x 19x = 19x Add '-19x' to each side of the equation. 19x + -19x = 19x + -19x Combine like terms: 19x + -19x = 0 0 = 19x + -19x Combine like terms: 19x + -19x = 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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