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Simplifying [4x5 + 2x + (-7)] + -1[(-6x5) + 3x + (-7)] = 0 [4x5 + 2x + -7] + -1[(-6x5) + 3x + (-7)] = 0 Reorder the terms: [-7 + 2x + 4x5] + -1[(-6x5) + 3x + (-7)] = 0 Remove brackets around [-7 + 2x + 4x5] -7 + 2x + 4x5 + -1[(-6x5) + 3x + (-7)] = 0 -7 + 2x + 4x5 + -1[(-6x5) + 3x + -7] = 0 Reorder the terms: -7 + 2x + 4x5 + -1[-7 + 3x + (-6x5)] = 0 -7 + 2x + 4x5 + [-7 * -1 + 3x * -1 + (-6x5) * -1] = 0 -7 + 2x + 4x5 + [7 + -3x + 6x5] = 0 Reorder the terms: -7 + 7 + 2x + -3x + 4x5 + 6x5 = 0 Combine like terms: -7 + 7 = 0 0 + 2x + -3x + 4x5 + 6x5 = 0 2x + -3x + 4x5 + 6x5 = 0 Combine like terms: 2x + -3x = -1x -1x + 4x5 + 6x5 = 0 Combine like terms: 4x5 + 6x5 = 10x5 -1x + 10x5 = 0 Solving -1x + 10x5 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-1 + 10x4) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-1 + 10x4)' equal to zero and attempt to solve: Simplifying -1 + 10x4 = 0 Solving -1 + 10x4 = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 10x4 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 10x4 = 0 + 1 10x4 = 0 + 1 Combine like terms: 0 + 1 = 1 10x4 = 1 Divide each side by '10'. x4 = 0.1 Simplifying x4 = 0.1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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