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Simplifying 3[4 + -1(5 + 2x)] + -34x = -19 + 4(4 + -10x) 3[4 + (5 * -1 + 2x * -1)] + -34x = -19 + 4(4 + -10x) 3[4 + (-5 + -2x)] + -34x = -19 + 4(4 + -10x) Combine like terms: 4 + -5 = -1 3[-1 + -2x] + -34x = -19 + 4(4 + -10x) [-1 * 3 + -2x * 3] + -34x = -19 + 4(4 + -10x) [-3 + -6x] + -34x = -19 + 4(4 + -10x) Combine like terms: -6x + -34x = -40x -3 + -40x = -19 + 4(4 + -10x) -3 + -40x = -19 + (4 * 4 + -10x * 4) -3 + -40x = -19 + (16 + -40x) Combine like terms: -19 + 16 = -3 -3 + -40x = -3 + -40x Add '3' to each side of the equation. -3 + 3 + -40x = -3 + 3 + -40x Combine like terms: -3 + 3 = 0 0 + -40x = -3 + 3 + -40x -40x = -3 + 3 + -40x Combine like terms: -3 + 3 = 0 -40x = 0 + -40x -40x = -40x Add '40x' to each side of the equation. -40x + 40x = -40x + 40x Combine like terms: -40x + 40x = 0 0 = -40x + 40x Combine like terms: -40x + 40x = 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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