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Simplifying 5x(-3) + (-9) = 4x + -1(-7 + 1) Reorder the terms for easier multiplication: 5 * -3x + (-9) = 4x + -1(-7 + 1) Multiply 5 * -3 -15x + (-9) = 4x + -1(-7 + 1) -15x + -9 = 4x + -1(-7 + 1) Reorder the terms: -9 + -15x = 4x + -1(-7 + 1) Combine like terms: -7 + 1 = -6 -9 + -15x = 4x + -1(-6) Multiply -1 * -6 -9 + -15x = 4x + 6 Reorder the terms: -9 + -15x = 6 + 4x Solving -9 + -15x = 6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -9 + -15x + -4x = 6 + 4x + -4x Combine like terms: -15x + -4x = -19x -9 + -19x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 -9 + -19x = 6 + 0 -9 + -19x = 6 Add '9' to each side of the equation. -9 + 9 + -19x = 6 + 9 Combine like terms: -9 + 9 = 0 0 + -19x = 6 + 9 -19x = 6 + 9 Combine like terms: 6 + 9 = 15 -19x = 15 Divide each side by '-19'. x = -0.7894736842 Simplifying x = -0.7894736842
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