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Simplifying -204 = 4x + -6(-1x + 19) Reorder the terms: -204 = 4x + -6(19 + -1x) -204 = 4x + (19 * -6 + -1x * -6) -204 = 4x + (-114 + 6x) Reorder the terms: -204 = -114 + 4x + 6x Combine like terms: 4x + 6x = 10x -204 = -114 + 10x Solving -204 = -114 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -204 + -10x = -114 + 10x + -10x Combine like terms: 10x + -10x = 0 -204 + -10x = -114 + 0 -204 + -10x = -114 Add '204' to each side of the equation. -204 + 204 + -10x = -114 + 204 Combine like terms: -204 + 204 = 0 0 + -10x = -114 + 204 -10x = -114 + 204 Combine like terms: -114 + 204 = 90 -10x = 90 Divide each side by '-10'. x = -9 Simplifying x = -9
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