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Simplifying 5(7 + -1x) + -53 = 19x + -6(3 + 4x) (7 * 5 + -1x * 5) + -53 = 19x + -6(3 + 4x) (35 + -5x) + -53 = 19x + -6(3 + 4x) Reorder the terms: 35 + -53 + -5x = 19x + -6(3 + 4x) Combine like terms: 35 + -53 = -18 -18 + -5x = 19x + -6(3 + 4x) -18 + -5x = 19x + (3 * -6 + 4x * -6) -18 + -5x = 19x + (-18 + -24x) Reorder the terms: -18 + -5x = -18 + 19x + -24x Combine like terms: 19x + -24x = -5x -18 + -5x = -18 + -5x Add '18' to each side of the equation. -18 + 18 + -5x = -18 + 18 + -5x Combine like terms: -18 + 18 = 0 0 + -5x = -18 + 18 + -5x -5x = -18 + 18 + -5x Combine like terms: -18 + 18 = 0 -5x = 0 + -5x -5x = -5x Add '5x' to each side of the equation. -5x + 5x = -5x + 5x Combine like terms: -5x + 5x = 0 0 = -5x + 5x Combine like terms: -5x + 5x = 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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